Answer: E) A's expected dividend is $0.75 and B's expected dividend is $1.20
Explanation:
Using the Gordon growth model, you can calculate the expected dividend. The formula is:
Price = Expected dividend/ (expected return - expected growth)
Stock A expected dividend
25 = D/ (10% - 7%)
D = 25 * 3%
= $0.75
Stock B expected divided
40 = D / (12% - 9%)
D = 40 * 3%
= $1.20
Option A, C and B are therefore wrong.
Option E is correct.
Stevenson Corporation acquires a one-year old building at a cost of $500,000 at the beginning of Year 2. The building has an estimated useful life of 50 years. However, based on reliable historical data, the company believes the carpeting will need to be replaced in 5 years, the roof will need to be replaced in 15 years, and the HVAC system will need to be replaced in 10 years. On the date of acquisition, the cost to replace these items would have been carpeting, $10,000; roof, $15,000; HVAC system, $30,000. Assume no residual value.
Required:
Determine the amount to be recognized as depreciation expense in Year 2 related to this building.
Answer:
$14,900
Explanation:
The computation of the amount recognized as a depreciation expense for the year 2 is shown below;
= Carpenting + roof + hvac system + building
= ($10,000 ÷ 5 years) + ($15,000 ÷ 15 years) + ($30,000 ÷ 10 years) + ($500,000 - $10,000 - $15,000 - $30,000) ÷ (50 years)
= $2,000 + $1,000 + $3,000 + $8,900
= $14,900
Which type of team rarely has the
authority to unilaterally implement
any of their suggestions?
= Problem-Solving Teams
Explanation:
Problem-Solving Teams is the right one hahahahahahahabaha
The situation in which expansionary fiscal policy does not lead to a rise in aggregate output is referred to as
Select one:
a. Fiscal neutrality.
b. Inflation.
c. Complete crowding out
d. A recession.
= Complete crowding out
Answer: The situation in which expansionary fiscal policy does not lead to a rise in aggregate output is referred to as
Select one:
a. Fiscal neutrality.
b. Inflation.
c. Complete crowding out
d. A recession.
Explanation:
The situation in which expansionary fiscal policy does not lead to a rise in aggregate output is referred to as complete crowding out.
What is fiscal policy?A fiscal policy refers to the use of government spending and policies for influencing economic conditions.
The situation in which expansionary fiscal policies do not lead to a rise in aggregate output is referred to as complete crowding out.
Therefore, C is the correct option.
Learn more about fiscal policy here:
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Pierce Which of the following statements is therefore necessarily true for Pierce? has a concave utility of wealth function, u(x). Pierce prefers prospect X to prospect Y.
a. CE(X) > CE(Y).
b. U(EV(X)) > U(EV(Y))
c. EU(X) < EU(Y)
d. Y is a mean preserving spread of X.
Answer:
A) CE(X) > CE(Y) is the correct answer.
Explanation:
Solution:
Correct Answer is A) CE(X) > CE(Y)
Because:
1. First of all, we are given that Pierce has a concave utility of wealth function u(x) which means Pierce is a kind of person who does not prefer taking risk.
2. Secondly, we are given that he prefers prospect X to Prospect Y.
3. Thirdly, Pierce will always make sure that Certainty Equivalent should be higher than others as Pierce does not want to take risks.
4. Lastly, he prefers X to Y so, he will make sure CE(X) must be greater than CE(Y) .
Hence,
A) CE(X) > CE(Y) is the correct answer.
On Monday, all company employees report being unable to connect to the corporate wireless network, which uses 802.1x with PEAP. A technician verifies that no configuration changes were made to the wireless network and its supporting infrastructure, and that there are no outages.
Which of the following is the MOST likely cause for this issue?
A. Too many incorrect authentication attempts have caused users to be temporarily disabled.
B. The DNS server is overwhelmed with connections and is unable to respond to queries.
C. The company IDS detected a wireless attack and disabled the wireless network.
D. The Remote Authentication Dial-In User Service server certificate has expired.
Answer:
D. The Remote Authentication Dial-In User Service server certificate has expired.
Explanation:
In the case when the employees report that the internet is not connected to the network also the technician verifies that there is no configuration changes made for the same so the most likely cause would be that the remote authentication i.e. the certificate of the dial in user server would have been expired
Therefore as per the given scenario, the last option is right
CHECKPOINT QUESTION
Which of the following statements about gossip in the organization is TRUE?
Only small amounts of information are carried on the grapevine of workplace
gossip.
Employees rely on each other for important information more than they rely on
their bosses.
Managers are excluded from using the grapevine to communicate or respond to
messages.
The grapevine can be used to prevent individual agendas and potential
miscommunications.
Answer:
Only small amounts of information are carried on the grapevine of workplace
gossip.
Explanation:
Grapevine is referred to as the circulation of unofficial information and rumors. Most of the communications in an organization is carried out through grapevine. It is informal communication of messages and information and also gossips in an organization. The grapevine communications carries more of accurate information than gossips. Only a small portion of the information consists of gossips in the functional grapevine.
Meiji Isetan Corp. of Japan has two regional divisions with headquarters in Osaka and Yokohama. Selected data on the two divisions follow:
Division
Osaka Yokohama
Sales $3,000,000 $9,000,000
Net operating expenses $210,000 $720,000
Average operating assets $1,000,000 $4,000,000
Required:
a. For each divisions, compute the return on investment (ROI) in terms of margin and turnover. (Do not round intermediate calculations.)
b. Assume that the company evaluates performance using residual income and that the minimum required rate of return for any division is 15%. Compute the residual income for each division.
Answer:
1. Rate of Interest = Net operating expenses/Average operating assets
Osaka = $210000/$1000000 = 0.21 = 21%
Yokohama = $720000 / $4000000 = 0.18 = 18%
2. Osaka Yokohama
Average operating assets $1,000,000 $4,000,000
M. required return at 15% $150,000 $600,000
Net operating income $210,000 $720,000
Minimum required return $150,000 $600,000
Residual income $60,000 $120,000
. Based on the Empirical Rule, what percent of the observations will lie between plus or minus two standard deviations from the mean?
Answer:
Empirical Rule or 68-95-99.7% Rule
Approximately 95% of the data fall within two standard deviations of the mean.
Imagine that a new technology is invented that makes it very cheap to produce highly efficient solar panels that can be put on cars stuff. Give the effect in the following markets.
a. price of solar panels
b. quantity of solar panels
c. price of oil
d. quantity of oil
e. price of tires
f. quantity of tires
Answer
Quantity of solar panels increase , Price of solar panels decrease
Quantity of tires increase, Price of tires increase
Quantity of oil decrease, Price of oil decrease
Explanation:
Supply is directly related to technological upgradation.
So, technical upgrade will increase ie rightwards shift the supply curve. Hence, quantity of solar panels will increase.
Increase in supply will create competition among sellers, so the price of solar panels will decrease
Tires are complementary goods to car solar panels. Price & quantity of complements are inversely related. Lower priced solar panels imply higher demand quantity of tires. Increase & rightwards shift in demand implies competition among buyers & tires' price increase.
Oil is a substitute good to solar panels. Price & quantity of substitutes is directly related. Lower priced solar panels imply lower oil demand quantity. Decrease & leftwards shift in demand curve implies excess supply & competition among sellers, so price of tires decrease.
What is a positive and what is a normative statement?
Answer:
normative statement: conclusions based on value judgments that cannot be tested
positive statement: conclusions based on logic and evidence that can be tested.
Hope that helps
Have a good day
There are four resources and four jobs to be done. Assume there must be one-to-one matching between jobs and resources. The time required for each resource to do each job is as follows:
Job (Hours)
Resource A B C D
1 5 8 7 7
2 4 9 5 9
3 6 9 8 7
4 7 6 6 9
What is the optimal assignment of resources to jobs?
Multiple Choice
1 to A; 2 to C; 3 to B; 4 to D
1 to B; 2 to D; 3 to C; 4 to A
1 to C; 2 to B; 3 to A; 4 to D
1 to D; 2 to B; 3 to C; 4 to A
1 to A; 2 to C; 3 to D; 4 to B
Answer:
1 → A ; 2 → C ; 3 → D ; 4 → B
Explanation:
From the given information, the table can be better structured as follows:
Job (Hours)
Resource A B C D
1 5 8 7 7
2 4 9 5 9
3 6 9 8 7
4 7 6 6 9
From the table, the allocation of resources is based on the minimum number of jobs i.e. time(hours) required to do all four tasks appropriately.
These are 1 → A ; 2 → C ; 3 → D ; 4 → B
Then, the time taken by this process is = (5 + 5 + 7 + 6)
= 23 hours
Can someone plz and answer this, I’m giving 100 points and brainliest!!
1.) What benefits are created when a business exports and sells products globally?
2.) Name the condition created when a nation has more exports than imports.
3.) What are some factors that can influence the exchange rate of currency?
4.) Identify three types of trade barriers used by governments.
5.) What is NAFTA?
Explanation:
5)The North American Free Trade Agreement was an agreement signed by Canada, Mexico, and the United States that created a trilateral trade bloc in North America. Th6e agreement came into force on January 1, 1994, and superseded the 1988 Canada–United States Free Trade Agreement between the United States and Canada...
4)Trade barriers are restrictions on international trade imposed by the government. They either impose additional costs or limits on imports and/or exports in order to protect local industries. There are three types of trade barriers: Tariffs, Non-Tariffs, and Quotas.......
3)Inflation Rates. Changes in market inflation cause changes in currency exchange rates. ...
Interest Rates. Changes in interest rate affect currency value and dollar exchange rate. ...
Country's Current Account / Balance of Payments. ...
Government Debt. ...
Terms of Trade. ...
Political Stability & Performance. ...
Recession. ...
Speculation.
2)A country that imports more goods and services than it exports in terms of value has a trade deficit or a negative trade balance. Conversely, a country that exports more goods and services than it imports has a trade surplus or a positive trade balance..
1)Increasing your sales potential
While importing products can help businesses reduce costs, exporting products can ensure increasing sales and sales potential in general. Businesses that focus on exporting expand their vision and markets regionally, internationally or even globally...
dont forget your promis....I’m giving 100 points and brainliest!!
Answer:
Inflation rates, is the 3rd one I think.
Explanation: I did this is class so I know.
what are the similarities between the scientific theory and the human relations theory and bureaucratic theory
When a firm shifts from transactional selling to a value-added and relationship approach, a number of changes have to take place in the way a salesperson approaches customer as well as his or her own job. List as many of these changes as you can and explain why each is important to making value-added selling work. Minimus words 100 and please provide source of information
Answer:
When a firm shifts from transactional to value-added and relationship approach of selling the following changes takes place in the way the salesperson approaches he customer and their job:
Whilst the objective the transactional approach is to make a sale, the relational approach is to build trust. When a customer trusts their sales person, it means they hold the sales person to put their interests first or at least take care of their interests whilst taking care of their too. The relational approach is more focused on retaining existing customers than making new ones. This is the obverse of a transactional relationship. It is said that it costs about 5 times extra to get a new client than what it takes to keep one. Thus the smart company focuses on honing this skill until they are better off for it. in a transactional approach, the nature of the relationship is relatively short, whilst it is stronger and longer in a relational approach. A Relational approach to selling can sometimes occur in the grey line between personal and official relationships.In a relationship-based approach to selling, the firm focuses on adding value in the primary areas of concern for the client as well as other areas. For example, a client - the CEO of a start-up requires recruitment, onboarding, and standard operating procedure as services from a HR firm. As a relational HR person, the best way to proceed would be to give him exactly what he wants and stil go ahead to add more value in other areas by giving templates of letter of appointment to the client.Cheers!
Stock Y has a beta of 1.3 and an expected return of 15.3 percent. Stock Z has a beta of 0.70 and an expected return of 9.3 percent. If the risk-free rate is 5.5 percent and the market risk premium is 6.8 percent, the reward-to-risk ratios for stocks Y and Z are and percent, respectively. Since the SML reward-to-risk is percent, Stock Y is (Click to select) and Stock Z is:_______ . (Round your answers to 2 decimal places. (e.g., 32.16))
Answer:
Reward-to-risk ratio Y =7.54%
Reward-to-risk ratio Z = 5.43%
Since the SML reward-to-risk is 6.8%
Stock Y is Undervalued
Stock Z Overvalued
Explanation:
Calculation for the reward-to-risk ratios for stocks Y is 7.54% and Z is 5.43% respectively.
Reward-to-risk ratio Y = (15.3%-5.5%)/1.3
Reward-to-risk ratio Y =7.54%
Reward-to-risk ratio Z = (9.3%-5.5%)/0.7 =
Reward-to-risk ratio Z = 5.43%
Therefore the reward-to-risk ratios for stocks Y and Z are and percent, respectively
Since the SML reward-to-risk is 6.8%
Stock Y is undervalued while Stock Stock Z on the other hand is overvalued reason been that
Reward-to-risk ratio Y is high while the Reward-to-risk ratio is low .
While managing political
behaviours
in organization, the manager
requires discouraging:
Select one:
a. Dialogue
b. Negotiation
c. Relationships
d. Self interest
= Self interest
Answer:
You are right it is D
Explanation:
Having Self Intrest will cause selfishnes while doing political things.
Ben invest $10,000 at a rate of interest of 5 percent for 40 years. Which of the following statements about the return on the investment is true?
Answer:
a. Ben will receive a significant amount at the end of the investment period, due to the feature of compounding.
Multiple choice options
a. Ben will receive a significant amount at the end of the investment period, due to the feature of compounding.
b. Ben will receive no interest on his investment at the end of the investment period.
c. Ben will receive an interest of $5,000 at the end of ten years.
d. Ben will receive more money at 3 percent rate of interest instead of the existing rate.
e. Ben will receive more money at the end of 30 years compared to the money received at the end of 40 years.
Explanation:
Ben will be earning 5% of his investment of $10,000 every year for 40 years.
At the end of every year, the 5% earned will be added to $10,000. It means the principal and interest will increase at the end of every year. After 40 years, Ben will receive a huge amount, as indicated below.
The formula is A= p x ( 1 x r)^n
A = $10,000 x ( 1+0.05)^40
A = $10,000 x (1.05)^40
A= $10,000 x 7.039988
A= 70,399.88
A=$70,400
Ben invest $10,000 but will receive $70,400 after 40 years
Paragraphs in a business email should be 20 to 40 words long. True False
if quantity demamded is completely unresponsive to changes in price ,demand is what?
Answer:
If quantity demanded is completely unresponsive to changes in price, demand is Perfectly inelastic.
Explanation:
Perfectly inelastic demand means that quantity demanded remains the same when price increases or decreases. Consumers are completely unresponsive to changes in price.
I hope it's helpful
Which of the following answer options are your employer's responsibility? (OSHA)
(A) Develop a written hazard communication program
(B) Implement a hazard communication program
(C) Maintain a written hazard communication program
Answer: A, B, and C. ALL OF THE ABOVE!
Explanation:
They're all the correct answer.
An employer's OSHA responsibility with regard to a hazard communication program is (C) Maintain a written hazard communication program.
OSHA's HCS, 29 CFR 1910.1200 (e) specifically requires the employer to maintain a written hazard communication.This written program includes maintenance of labels and other warning forms, safety data sheets.It is also required that the employer should provide safety information and training, especially for its employees.Thus, the responsibility of the employer is not to develop or implement a hazard communication program but to maintain a written hazard communication program.
Read more about employer's OSHA responsibilities at https://brainly.com/question/5337593
Mr. Dorji is not working currently
because his skills are not relevant for the jobs available in the market. What category of unemployment would Dorji fall in?
Select one:
a. Cyclical Unemployment
b. Structural Unemployment
c. Seasonal unemployment
d. Frictional Unemployment
= Structural Unemployment
Answer:
b. Structural Unemployment
Explanation:
Structural unemployment exists due to a mismatch between jobseeker's skills and the currently available jobs in the market. This implies that the market has available job opportunities, but the current labor force may require retraining to take up the jobs effectively.
Advancements in technology may cause structural unemployment. In recent years, robots have been replacing unskilled workers. It means these workers must acquire skills through training to have a chance of getting hired elsewhere.
Communication may account for as much as. Of a hiring decision
a 25%
b. 40%
C65%
d. 80%
Answer:
A) 25%
Explanation:
Just got it right on edge
This question examines the market for mangos. You will use a demand function to construct the demand schedule, calculate the price elasticity of demand at different points along a linear demand curve, and identify the likely effects of price changes on total revenue.
Below, you are provided with the demand function for mangos. If you plug any price into the formula for the demand function, you get the quantity demanded at that price.
Q = 150 – 25P
Task 1. Use the table below to find the quantity of mangos demanded at each price.
Price Quantity of Mangos Demanded
$1
2
3
4
5
Task 2. Calculate the price elasticity of demand when the price falls from $5 to $4.
Task 3. When the price of a mango falls from $5 to $4, does total revenue fall or rise? How do you know?
Task 4. When the price of a mango falls from $3 to $2, does total revenue fall or rise?
Answer:
Task 1. Use the table below to find the quantity of mangos demanded at each price.
For a price of $1, the quantity demanded of mangos is:
Q = 150 - 25 ($1)
Q = 125
For $2:
Q = 150 - 25 ($2)
Q = 150 - 50
Q = 100
For $3
Q = 150 - 25 ($3)
Q = 150 - 75
Q = 75
For $4
Q = 150 - 25 ($4)
Q = 150 - 100
Q = 50
For $5
Q = 150 - 25 ($5)
Q = 150 - 125
Q = 25
Task 2. Calculate the price elasticity of demand when the price falls from $5 to $4.
The formula is
Price Elasiticy of Demand (PED) = ((Q2 - Q1) / (Q2 + Q1) / 2 ) / ((P2 - P1) / ((P2 + P1) / 2)
Now, we plug the amounts into the formula
PED = ((50 - 25) / (50 + 25) / 2) / ((4 - 5) / (4 + 5) / 2)
PED = 0.1666 / -0.0556
PED = -3
We take the absolute value, 3, which is a PED higher than 1, meaning that demand is elastic: the quantity demanded in this case increased more than the price.
Task 3. When the price of a mango falls from $5 to $4, does total revenue fall or rise? How do you know?
Revenue = Price x Quantity
Under the first scenario, revenue = $5 x 25 = $125
Under the second scenario, revenue = $4 x 50 = $200
So revenue increased by $75.
Task 4. When the price of a mango falls from $3 to $2, does total revenue fall or rise?
First scenario = $3 x 75 = $225
Second scenario = $2 x 100 = 200
So revenue actually falls by $25.
During 2018, Raines Umbrella Corp. had sales of $810,000. Cost of goods sold, administrative and selling expenses, and depreciation expenses were $580,000, $90,000, and $135,000, respectively. In addition, the company had an interest expense of $91,000 and a tax rate of 21 percent. (Ignore any tax loss carryforward provisions and assume interest expense is fully deductible.) Suppose the company paid out $55,000 in cash dividends. If net capital spending and net working capital was zero, and if no new stock was issued during the year, what is the net new long-term debt
Answer:
$6,000
Explanation:
The computation of the net new long term debt is as follows:
But before that following calculations to be done:
Sales $810,000
Less: COGS ($580,000)
Less: S&A Expenses ($90,000)
Less: Depreciation ($135,000)
EBIT $5,000
Less: Interest ($91,000)
Taxable Income ($86,000)
Less: Taxes(21%) $0
Net Income(loss) ($86,000)
Now
OCF = EBIT + Depreciation - Taxes
= $5,000 + $135,000 - $0
= $140,000
Change in NWC = Net capital spending = Net new equity = 0
Cash flow from assets = OCF - Change in NWC - Net capital spending
= $140,000 - $0 - $0
= $140,000
Cash flow to stockholders = Dividends - Net New Equity
= $55,000 - $0
= $55,000
Cash flow to creditors = Cash flow from assets - Cash flow to stockholders
= $140,000 - $55,000
= $85,000
Cash flow to creditors = Interest - Net new LTD
$85,000 = $91,000 - Net new LTD
So,
Net new LTD is
= $91,000 - $85,000
= $6,000
Warner Clothing is considering the introduction of a new baseball cap for sales by local vendors. The company has collected the following price and cost characteristics.
Sales price $15 per unit
Variable costs 5 per unit
Fixed costs 50,000 per month
Required:
a. What number must Warner sell per month to break even?
b. What number must Warner sell per month to make an operating profit of $34,000 and $8,400. Assume that the company plans to sell 9,000 units per month. Consider requirements (b), (c), and (d) independently of each other.
c. What will be the operating profit?
d. What is the impact on operating profit if the sales price decreases by 10 percent? Increases by 20 percent?
Answer:
a. 5,000 units
b. 8,400 units and 5,840 units
c. $40,000
d. decrease of operating profit by 22.50 % and increase of operating profit by 45.00%
Explanation:
Breakeven point is level at which a firm makes neither profit nor loss
Break even units = Fixed Costs ÷ Contribution per unit
Break even units = 5,000 units
Units to achieve target profit = Target Profit + Fixed Costs ÷ Contribution per unit
Units to achieve profit of $34,000 = 8,400 units
Units to achieve profit of $8,400 = 5,840 units
Operating Profit = Contribution - Fixed Costs
= $40,000
The effect on change of operating profit can be best shown by calculation of the Degree of Operating Leverage (DOL)
DOL = Contribution ÷ Profit
= 2.25
Sales decreases of 10 percent = decrease of operating profit by 22.50 % (10 % × 2.25)
Sales Increases of 20 percent = increase of operating profit by 45.00% (20%× 2.25)
Which professional has helped Jennifer in this example?
Jennifer bought a new smart phone from a local store that sells electronic products. After a week, she started experiencing problems with the
phone's display screen. She went back to the store and spoke to its ___
representative, who replaced the product and
apologized for the inconvenience.
Answer:
would it be sales representative since they were only able to replace the device and apologize
Answer:
customer service
Explanation:
I'm smart and got it right on my test
The board of directors of Chestnut Inc. approved a restructuring plan on November 1, Year 1. On December 1, Year 1, Chestnut publicly announced its plan to close a manufacturing division in New Jersey and move it to China, and the company's New Jersey employees were notified that their jobs would be eliminated. Also on December 1, Year 1, to ensure an orderly transition, management promised a termination bonus of $10,000 to any employee who remains with the company until his or her position is terminated in the fourth quarter of Year 2. Chestnut estimates it will pay termination bonuses to 120 employees at the end of Year 2, for a total of $1,200,000. The present value of the estimated termination bonus is $1,000,000.
Required:
Determine the provision that should be recognized for Chestnut's restructuring plan. Identify the dates on which journal entries should be made and the amounts to be recorded.
Answer:
Company by informing employees about termination is creating constructive obligation. Company should therefore provide for restructuring costs calculated as PV of estimated termination bonus which is based on number of employees would accept the offers. The provision for expenses should be recognized on December 1 of year 1
Journal entry to record provision for restructuring costs
Date General Journal Debit Credit
01/Dec/Year 1 Restructuring expenses $1,000,000
Provision for termination of benefits $1,000,000
(To record provision for restructuring costs)
Which of the following is/are inconsistent with the semi-strong form of the efficient market hypothesis? [I] Significant non-random price movements [II] Price overreaction to the public release of new information [III] Superior performance of professional traders [IV] Abnormal profits from illegal insider trading
A. I and III
B. II and IV
C. I and II
D. All are inconsistent with the semi-strong form of the EMH
Answer:
C. I and II
Explanation:
Semi strong form of efficient market hypothesis is a situation where stock prices adjust quickly to any new public information that circulates in the market. It assumes that stock prices incorporates the effect of all information which is publicly available in the market.
For Sunland Co., beginning capital balances on January 1, 2020, are Nancy Payne $18,900 and Ann Dody $24,000. During the year, drawings were Payne $8,700 and Dody $5,200. Net income was $28,700, and the partners share income equally.
Show the partners' capital statement for the year and show the owners' equity section of the balance sheet at December 31, 2020.
Answer and Explanation:
The preparation of the partner capital statement and the owner equity section is presented below:
Partner capital statement
Particulars N. Payne Ann Dody Total
Beginning
balance $18,900 $24,000 $42,900
Less: Drawings -$8,700 -$5,200 -$13,900
Balance left $10,200 $18,800 $29,000
Add: Net income
share 50% 50% $14,350 $14,350 $28,700
ending balance $24,550 $33,150 $57,700
Now the balance sheet is
Sunland Co,
Partial balance sheet
Dec 31,2020
Owner capital
Partner capital balance $29,000
Add: Net income $28,700
Total owner equity $57,700
An internal study by the Technology Services department at Lahey Electronics revealed company employees receive an average of two emails per hour. Assume the arrival of these emails is approximated by the Poisson distribution.
a. What is the probability Linda Lahey, company president, received exactly 1 email between 4 P.M. and 5 P.M. yesterday?
b. What is the probability she received 5 or more emails during the same period?
c. What is the probability she did not receive any emails during the period?
Answer:
0.2706 ; 0.05265 ; 0.1353
Explanation:
Given that :
λ = 2
According to the poisson distribution formula :
P(x = x) = (λ^x * e^-λ) / x!
P(x = 1) = (2^1 *e^-2) / 1!
P(x = 1) = (2 * 0.1353352) = 0.2706
P(x ≥ 5) = 1 - P(x < 5)
1 - P(x < 5) = 1 - [p(x = 0) + p(x = 1) + p(x = 2) + p(x = 3) + p(x = 4)]
We obtain and add the individual probabilities. To save computation time, we can use a poisson distribution calculator :
1 - P(x < 5) = 1 - (0.13534+0.27067+0.27067+0.18045+0.09022)
1 - P(x < 5) = 1 - 0.94735 = 0.05265
P(x ≥ 5) = 1 - P(x < 5) = 0.05265
Probability that no emails was received :
x = 0
P(x = 0) = (2^0 *e^-2) / 0!
P(x = 0) = (1 * 0.1353352) / 1 = 0.1353
