Consider the following Binomial Experiment: The probability that a cell phone manufactured at Electronics Unlimited is defective is 0.14. If a sample of 7 cell phones is selected at random, what is the probability that at least 1 is defective

Answers

Answer 1

Using the binomial distribution, it is found that there is a 0.6521 = 65.21% probability that at least 1 is defective.

For each phone, there are only two possible outcomes, either it is defective, or it is not. The probability of a phone being defective is independent of any other phone, which means that the binomial distribution is used to solve this question.

Binomial probability distribution

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

The parameters are:

x is the number of successes. n is the number of trials. p is the probability of a success on a single trial.

In this problem:

0.14 probability of a single phone being defective, hence [tex]p = 0.14[/tex]7 phones are selected at random, hence [tex]n = 7[/tex]

The probability that at least 1 is defective is:

[tex]P(X \geq 1) = 1 - P(X = 0)[/tex]

In which

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{7,0}.(0.14)^{0}.(0.86)^{7} = 0.3479[/tex]

Then:

[tex]P(X \geq 1) = 1 - P(X = 0) = 1 - 0.3479 = 0.6521[/tex]

0.6521 = 65.21% probability that at least 1 is defective.

A similar problem is given at https://brainly.com/question/24863377


Related Questions

pls help with this pls​

Answers

Answer:

1.5 songs/minutes

Step-by-step explanation:

30÷20 = 1.5

What equals 10³ I need to know

Answers

Answer:

1,000

Step-by-step explanation:

10 x 10 x 10 = 1,000

1000

Step-by-step explanation:

10³

=10×10×10

1000

choose the inequality that represents the following graph​

Answers

Answer:

A

Step-by-step explanation:

if the hole is not shaded that means it can not equal 5 and due to the fact that the line stops at 5 means it's less than 5 so the answer is A

PLS HELP PLS HELP PLS HELP

Answers

The answer is 3/22

Hope this help~

Solve the inequality 10y−3(y+2)>2y+4, and write the solution in interval notation.

Answers

Step-by-step explanation:

10y - 3(y + 2) > 2y + 4

10y - 3y - 6 > 2y + 4

(10 - 3 - 2)y > 4 + 6

5y > 10

y > 10/5

y > 2

[tex] \: [/tex]

Solution → y > 2

Interval Notation → [tex] \lang 2 , \infty\rang[/tex]

The solution in interval notation is: (2, ∞)

To solve the inequality 10y - 3(y + 2) > 2y + 4, follow these steps:

Step 1: Distribute the -3 on the left side of the inequality:

10y - 3y - 6 > 2y + 4

Step 2: Combine like terms:

(10y - 3y) - 6 > 2y + 4

7y - 6 > 2y + 4

Step 3: Get all the y terms on one side by subtracting 2y from both sides of the inequality:

7y - 2y - 6 > 2y - 2y + 4

5y - 6 > 4

Step 4: Get the constant term on the other side by adding 6 to both sides of the inequality:

5y - 6 + 6 > 4 + 6

5y > 10

Step 5: Finally, solve for y by dividing both sides by 5:

y > 10/5

y > 2

The solution to the inequality is y > 2. Now, let's write it in interval notation.

To know more about interval:

https://brainly.com/question/29126055

#SPJ2

There are 594 calories in six ounces of a certain ice cream. How many calories are there in two pounds?
1 pound=16 ounces
Before you try that problem, answer the question below.
How many ounces will you need to find the number of calories for?

Answers

Answer:

3,168 cal= 2lbs of Ice Cream

Step-by-step explanation:

I need to fin how many calories are in two pounds of that ceratin ice cream.

594cal/6=99cal

99cal=1 oz

16oz x 2 = 32oz

99 x 32 = 3,168 cal

There is 3,168 cal in two pounds of ceratin ice cream.

Part B
Find the slope of the following graph and enter your result in the empty box,


Answers

Slope is 3
m=3

Since the formula is rise over run,
3/1 to get to another point 3/1 is 3

So there’s your answer

(b) Notice that x=0.5 meter when θ = 45o. By approximately how many radians should you increase θ if you want the x coordinate of the point R to decrease to x = 0.45 meters? Use the tangent line approximation.

Answers

The angle is increased in approximately 0.095 radians (5.443°) for [tex]x = 0.45\,m[/tex].

Based on the statement we construct the geometric diagram, by definition of tangent we have expressions for the initial and final angles ([tex]\theta_{1}[/tex], [tex]\theta_{2}[/tex]), in radians, of the figure:

Initial triangle

[tex]\tan \theta_{1} = \frac{y_{1}}{x_{1}}[/tex] (1)

Final triangle

[tex]\tan \theta_{2} = \frac{y_{2}}{x_{2}}[/tex] (2)

By using (2), the equivalence [tex]\theta_{2} = \theta_{1}+\Delta \theta[/tex] and trigonometric identities we have the following expression:

[tex]\frac{y_{2}}{x_{2}} = \frac{\tan \theta_{1}+\tan \theta_{2}}{1-\tan \theta_{1}\cdot \tan \theta_{2}}[/tex] (3)

By (1), we simplify the expression:

[tex]\frac{y_{2}}{x_{2}} = \frac{\frac{y_{1}}{x_{1}} + \tan \Delta \theta}{1-\frac{y_{1}}{x_{1}}\cdot \tan \Delta \theta}[/tex] (3b)

If [tex]0 \le \Delta \theta \le \frac{\pi}{6}[/tex], then we can use the following approximation:

[tex]\tan \Delta\theta \approx \Delta \theta[/tex] (4)

Then, we reduce (3b) into an entirely algebraic expression:

[tex]\frac{y_{2}}{x_{2}} = \frac{\frac{y_{1}}{x_{1}}+\Delta \theta }{1-\frac{y_{1}}{x_{1}}\cdot \Delta \theta }[/tex] (3c)

Where [tex]y_{2} = \sqrt{r^{2}-x_{2}^{2}}[/tex].

Now we clear [tex]\Delta \theta[/tex] within the formula:

[tex]\Delta \theta = \frac{\frac{y_{2}}{x_{2}}-\frac{y_{1}}{x_{1}}}{\frac{y_{1}}{x_{1}}\cdot \left(1+\frac{y_{2}}{x_{2}} \right) }[/tex]  (5)

If we know that [tex]x_{1} = y_{1} = 0.5[/tex], [tex]r = 0.707[/tex] and [tex]x_{2} = 0.45[/tex], then we estimate the angle change:

[tex]y_{2} = \sqrt{0.707^{2}-0.45^{2}}[/tex]

[tex]y_{2} \approx 0.545[/tex]

[tex]\Delta \theta = \frac{\frac{0.545}{0.45}-1 }{1\cdot \left(1+\frac{0.545}{0.45} \right)}[/tex]

[tex]\Delta \theta = 0.095[/tex]

As [tex]\Delta \theta < \frac{\pi}{6}[/tex], then the result seems to be reasonable. The angle is increased in approximately 0.095 radians (5.443°) for [tex]x = 0.45\,m[/tex].

We kindly invite to check this question on trigonometric identities: https://brainly.com/question/24836845

pls help me
nonsense answer=report
good answer=+points​

Answers

Solution:Opposite of an integer means the same integer with a change in its sign.If it is a positive integer, then the opposite of it is the negative of the same integer.And if it is a negative integer, then the opposite of it is the positive of the same integer.+20 : -20-13 : +13-9 : +9+50 : -50+93 : -93-16 : +16+35 : -35+11 : -11-12 : +12-14 : +14

Hope it helps.

Do comment if you have any query.

Write $1.50 to $12.00 as a ratio in fraction form in lowest terms.

Answers

Answer:

1/8

Step-by-step explanation:

What is the average of 100, 125, 150, 25

Answers

100

Step-by-step explanation:

So, you are essentailly finding the mean (the average of a set of numbers).

1. Add up all the numbers (should get 400)

2. Divide by the amount of numbers presented in the set. (Here there are 4)

3. Solve :  400/4 = 100

Mark bakes 12 more cookies than joe. mark bakes 36 cookies. how many cookie does joe bake?

Answers

Answer:

Mark bakes 36 cookies

Joe bakes cookies

36-12=24

Joe bakes 23 cookies

Dry Clean USA has finished cleaning 30% of their 730 orders. How many orders do they still need to finish cleaning?

Answers

Step-by-step explanation:

100% = 730

1% = 100%/100 = 730/100 = 7.3

30% = 1% × 30 = 7.3 × 30 = 219

so, they finished 219 of their 730 orders.

that leaves 730 - 219 = 511 orders still to be finished.

If you added 1, 900 pounds and 2 tons, what would the total weight be?
a) 2, 100 pounds
b) 5, 900 pounds
c) 3, 900 pounds
d) 3.9 tons

Answers

Answer:

B) 5,900 pounds

Step-by-step explanation:

1,900 pounds + 2 tons = 5,900

A 16-cup carton of ice cream costs $12.00. What is the price per pint?

Answers

9514 1404 393

Answer:

  $1.50 per pint

Step-by-step explanation:

1 pint = 2 cups, so the cost of it is ...

  x/(2 cups) = $12/(16 cups)

  x = (2)($12/16) = $1.50 . . . . . . multiply by 2 cups

The price per pint is $1.50.

What is the length of BC in the right triangle below?

Answers

Answer:

A. 122

Step-by-step explanation:

in right-angle triangle,

AB² + AC² = BC²

22²+120² = BC²

2²×11² + 2⁶×5²×3²= 2²(121+16×25×9)

4(121+3600) = 14884

BC=√14884 = 122

How much money did the top tickets take in?..​

Answers

$1025, $525+$325+$175=$1025

arrange the following in ascending order



3/4 , -1/3 , 1/-2 , 3/10​

Answers

Answer:

Ans: 1/-2 , -1/3 , 3/10 , 3/4

Step-by-step explanation:

The LCM of 2, 3, 4 and 10 is 60.

Let's make denominator equal,

→ 3/4 , -1/3 , 1/-2 , 3/10

→ 3×15/4×15 , -1×20/3×20 , -1×30/2×30 , 3×6/10×6

→ 45/60 , -20/60 , -30/60 , 18/60

Now we can order in ascending,

→ -30/60 , -20/60 , 18/60 , 45/60

→ 1/-2 , -1/3 , 3/10 , 3/4 {final answer}

(18−42+2)21÷4⋅12 what does it equal

Answers

The answer should be -1386

Total consumption of fruit juice in a particular country in 2006 was about 1.41 billion gallons. The population of that country in 2006 was 400 million. What was the average number of gallons of fruit juice consumed per person in the country in 2006? Use pencil and paper. Using the per person amount from this problem, about how many gallons would your class consume?​

Answers

Answer:

3.525 gal/person

Step-by-step explanation:

My class would consume 52.875 gallons

Log2(x-1)+Log2(x+2) =2
Find X

Answers

X is 2.82 rounded off :)

If 20% of the students were boys, what fraction were girls?

Answers

Answer:

Girls are   4/5 of the students.

Step-by-step explanation:

boys + girls = 100% of students.

If 20% of the students are boys then 80% are girls

80% = 80/100 =  4/5

6x+3>15 solve for a please

Answers

Answer:

x>2

Step-by-step explanation:

1) 6x+3 > 15

2) 6x > 15-3

3) 6x > 12

4) x > 12÷6

5) x > 2

what is x and y in the equation 9x + 20y > 120

Answers

Answer:

independent variable/ variables

Step-by-step explanation:

The total number of boys and girls in a class are 45 students. If 65% of the children are girls, what percentage are boys?​

Answers

Answer:

35%

Step-by-step explanation:

100% - 65% = 35%

Hope this helps!

Answer:

35%

Step-by-step explanation:

65% of 40 is 29.25

40-29.25=15.75

15.75 over 45 × 100 = 0.35

0.35 is also written as 35%

This is just a longer method if it requires more steps:)

Hello can someone please help me with this

Answers

Answer:

I would assume it is c. 1, because of rounding, but I'm only 70% sure.

Can you help please?

Answers

-5/2

an example of how to write it is :)
-5/2 I learn this like last year but don’t quote me on it

Evaluate the function f(x) =-x/2 -7x -2 find f(-9)

Answers

Answer:

[tex]f(-9)=\frac{131}{2}[/tex]

Step-by-step explanation:

In order to evaluate a function at a given x-value, plug in that value into the actual function

[tex]f(x)=-\frac{x}{2} -7x-2\\\\f(-9)=-\frac{9}{2} -7(-9)-2\\\\f(-9) = \frac{131}{2}[/tex]

The circle graph shows a family budgets it’s annual income.if the total annual income is 140,000, what amount is budgeted for auto expenses?

Answers

Answer: The amount budgeted for Auto Expenses is $18,200

Step-by-step explanation:

13 Percent of $140,000 is $18,200

0.13 times 140,000 :-)

plz plz heelp me i need heelp

Answers

C because 1.04 could be rounded to 1 to the nearest whole number
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