A set of 10 cards consists of five red cards and five black cards. The cards are shuffled thoroughly, and I choose one at random, observe its color, and replace it in the set. The cards are thoroughly reshuffled, and I again choose a card at random, observe its color, and replace it in the set. This is done a total of four times. Let X be the number of red cards observed in these four trials. The mean of X is:

Answers

Answer 1

Answer:

The mean of X is 2

Step-by-step explanation:

Given the data in the question;

set of 10 cards consist of 5 red card and 5 blacks

cards are chosen, replaced and shuffled four times;

number of independent trials n = 4

now, since its is replaced, the probability of getting a red card in each trial will be;

p = 5/10 = 0.5

let X rep the number of red cards observed in the four trials.

the random variable follows binomial distribution where

n = 4 and p = 0.5

so

E(X) = ∑xP( X = x )

E(X) = np

we substitute

E(X) = 4 × 0.5

E(X) = 2

Therefore, The mean of X is 2


Related Questions

Name the postulate or theorem

Answers

Answer:

pythagoras theorem

Step-by-step explanation:

Pythagoras theorem states that “In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides“.

Help me I need this really bad and I need a good grade I’m behind on school

Answers

Answer:

If you share 7 apples equally with 3 people, then there are 2 1/3 apples per person.

The number 2 represents the number of whole apples each individual gets.

The denominatior, 3, represents how many times an apple will have to be split to divide equally

The numerator, 1, represents how many 3rds each person gets.

(2+5i)+(1+2i)
Please

Answers

Answer:

3 + 7i

Step-by-step explanation:

(2+5i)+(1+2i) =

= 2 + 1 + 5i + 2i

= 3 + 7i

6)
(y = -2x + 9
(5x - 2y = 18
yo i need help

Answers

Answer:

use the app photomath

Step-by-step explanation:

Here is the answer you welcome

Anyone know this? Answer for cookie!

Answers

Answer:

no solution

Step-by-step explanation:

the value of 3x+2y can't be two different things at once

Answer: no solutions

Step-by-step explanation:

when the two equations have the same x and y values but a different y intercept they can not have any solutions because they are parallel

Mountain officials want to build a new ski lift from B to C, as shown in the figure below. The distance from A to C is 1540 feet. They measure angle DAC to be 38º and angle DBC to be 25º. What is the distance from A to B ? Round your answer to the nearest tenth of a foot.

Answers

Answer:

there is a 13 degree difference from DBC and DAC

 with that you divide 1540 by 13 as you get that 118.461 feet

that means that there is a 118.461 difference from B to C and A to B

so the answer is either 1658.461ft or 1421.539ft I am not sure if that is correct or not but best of luck mate  

Simplify
8(10 m)
80 + m
18 m
80 m
810 m

Answers

80m, you kind of distribute so 8 times 10m is 80m

A rectangular library has a length of 54 feet and a perimeter of 172 feet.
What is the width, in feet, of the library?

Answers

Answer:

yes

Step-by-step explanation:

which table shows a relationship between the values of x and y that represents a linear function?

Answers

The second one where 0,0 and 3,1 and 9,9

I WILL GIVE BRAINLIEST IF YOU ANSWER THIS QUESTION CORRECTLY!What is the shape of the distribution shown below?
Choose 1 answer:

(Choice A)
The distribution is left-tailed.

(Choice B)
The distribution is approximately symmetrical.

(Choice C)
The distribution is right-tailed.

Answers

Answer:

pretty sure it's B!

Step-by-step explanation:

B the distribution is approximately symmetrical

Anyone know the answer?

Answers

Answer:

No. Im sorry!

Step-by-step explanation:

Use the factor tree to find the prime factorization of 100.
What is the prime factorization of 100?
2 x 5
2 x 2 x 5 x 5
2 x 5 x 10
10 x 10

Answers

Answer:

2 * 2 * 5 * 5

Step-by-step explanation:

100 = 2 * 50

       = 2 * 2 * 25

       = 2 * 2 * 5 * 5

doivhrghfufvh - 10 points!

Answers

Answer:

I'm sure it's already all the way simplified since there are no common terms

I could he wrong but I dont think theres anything more you can do since they are all their own different term

Step-by-step explanation:

for example if it was 7x-2x-1 then you would subtract 7x and 2x and then it would come put to be 5x-1

hope this helped at all

Is the graph increasing, decreasing, or constant?
O A. Constant
B. Decreasing
C. Increasing

Answers

Answer:

Decreasing because the line is going down meaning it is decreae

Find the slope of the line passing through the points (5,-2) and (9,18) PLEASE HELP I NEED WORK SOWN AND IM BEING TIMED I HAVE 30 MIN LEFT giving 15 points I NEED A GOOD GRADE

Answers

Answer:

m = 5

Step-by-step explanation:

(5,-2) and (9,18)

Slope:

m=(y2-y1)/(x2-x1)

m=(18+2)/(9-5)

m=20/4

m = 5

Miles takes a 350-mile round-trip flight to visit his parents. To qualify for Gold status at Awesome
Airlines, one must fly at least 7700 and less than 12600 miles each year. How many times would Miles
need to visit his parents each year to attain Gold status? Express your answer in interval notation.

Answers

Answer:

Miles must travel a minimum of 22 times and a maximum of 36 times to achieve Gold status.

Step-by-step explanation:

Given that Miles takes a 350-mile round-trip flight to visit his parents, and to qualify for Gold status at Awesome Airlines, one must fly at least 7700 and less than 12600 miles each year, to determine how many times would Miles need to visit his parents each year to attain Gold status, the following calculation must be performed:

7700/350 = X

22 = X

12600/350 = X

36 = X

Thus, Miles must travel a minimum of 22 times and a maximum of 36 times to achieve Gold status.

Un círculo tiene una circunferencia de 18.4 m. Determina el valor del radio. (Utiliza el valor de π = 3.14)

Answers

Answer: 2.92

Step-by-step explanation:

De la circunferencia del círculo, se encuentra que su radio es de 2.93m.

El circunferencia de un círculo de radio r es dada por:

[tex]C = 2\pi r = 2(3.14)r = 6.28r[/tex]

En este problema, la circunferencia es de 18.4. Así, es posible aplicar la fórmula de la cincumference para encontrar su radio, puesto que [tex]C = 18.4[/tex].

[tex]C = 6.28r[/tex]

[tex]6.28r = 18.4[/tex]

[tex]r = \frac{18.4}{6.28}[/tex]

[tex]r = 2.93[/tex]

El radio es de 2.93m.

Un problema similar es dado en https://brainly.com/question/24562611

I need help with this. (15 points)

Answers

9514 1404 393

Answer:

  min: $65

  per hour: $7.50

Step-by-step explanation:

The equation tells you Monica expects her pay to be $65 when she works 0 hours. That will be the minimum.

  y = 7.5·0 +65 = 65 . . . for 0 hours

It also tells you the pay is expected to go up by $7.50 if she works 1 hour. That will be her hourly rate.

  y = 7.5·1 +65 = 72.5 . . . for 1 hour; an increase of 7.50 over the minimum.

Minimum pay: $65

plus $7.50 per hour

6x8 = nx 16
What is the value of the unknown number?

Answers

Um I think the answer is 3

Eric buys a coffee table price d at $100. If the sales taxis 5%, what wil lbe the total cost including tax?

Answers

To solve this problem you take the price and multiply it by the tax percentage.

$100 x 5% = 5

Then add $5 (total of tax) to the price.

The TOTAL with tax would be $105

What is the scale factor from ABC to DEF?
A. 5 B. 1 C. 0 D. 10​

Answers

Answer:

b

Step-by-step explanation:

they both have 5 so we divide 5/5 and we get one.

Answer:

B. 1

Step-by-step explanation:

Below, the two-way table is given for a class of students. Juniors Seniors Free Freshmen Sophomore Male 4 6 2 2. Female 3 4 6 3 Total If a student is selected at random, find the probability the student is a junior given that it's male. Round to the nearest whole percent.​

Answers

Answer:

[tex]Pr = 7\%[/tex]

Step-by-step explanation:

Given

See attachment for graph

Required

Find P(Junior|Male)

To do this, we first calculate the total students.

[tex]Total = 4 + 6 + 2 + 2 + 3 + 4 + 6 + 3[/tex]

[tex]Total = 30[/tex]

Next, select the value in the cell that intersects Male and Junior

[tex]Male\ and\ Junior = 2[/tex]

Hence, the probability is

[tex]Pr = \frac{Male\ and\ Junior}{Total}[/tex]

[tex]Pr = \frac{2}{30}[/tex]

[tex]Pr = 0.067[/tex]

Express as percentage

[tex]Pr = 0.067*100\%[/tex]

[tex]Pr = 6.7\%[/tex]

Approximate

[tex]Pr = 7\%[/tex]

Answer:

14%

Step-by-step explanation:

2(junior males) out of 14 (the total of males) is 14.29%, which is rounded to a whole percent of 14%. Hope this helps!

p.s. (I was on the same problem on acellus and figured it out. It took forever though)

please answer asap! no scam links or scam comments or reported.

Answers

Answer:

yeah the links are anoying

Step-by-step explanation:

the answer is C

mark brainliest or add heart and 5 stars or both

A toy manufacturer wants to know how many new toys children buy each year. A sample of 305 children was taken to study their purchasing habits. Construct the 80% confidence interval for the mean number of toys purchased each year if the sample mean was found to be 7.6. Assume that the population standard deviation is 1.5. Round your answers to one decimal place.

Answers

Answer:

The 80% confidence interval for the mean number of toys purchased each year is between 7.5 and 7.7 toys.

Step-by-step explanation:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.8}{2} = 0.1[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.1 = 0.9[/tex], so Z = 1.28.

Now, find the margin of error M as such

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

[tex]M = 1.28\frac{1.5}{\sqrt{305}} = 0.1[/tex]

The lower end of the interval is the sample mean subtracted by M. So it is 7.6 - 0.1 = 7.5

The upper end of the interval is the sample mean added to M. So it is 7.6 + 0.1 = 7.7

The 80% confidence interval for the mean number of toys purchased each year is between 7.5 and 7.7 toys.

Exercise 5.16.1: Coin flips and events. About A coin is flipped four times. For each of the events described below, express the event as a set in roster notation. Each outcome is written as a string of length 4 from {H, T}, such as HHTH. Assuming the coin is a fair coin, give the probability of each event. (a) The first and last flips come up heads. Solution (b) There are at least two consecutive flips that come up heads.

Answers

Answer:

[tex](a)\ Pr = 0.25[/tex]

[tex](b)\ Pr = 0.50[/tex]

Step-by-step explanation:

Given

[tex]Flips = 4[/tex]

First, we calculate the sample size;

The coin has two possible outcomes (i.e. head or tail) and the number of flips is 4.

So, the sample size (N) is:

[tex]N = 2^4[/tex]

[tex]N = 16[/tex]

Solving (a): Probability the outcome of the first and last flip is head.

The possible outcomes for this event are:

[tex]n = \{(HHHH), (HHTH), (HTHH),(HTTH)\}[/tex]

[tex]n(n) = 4[/tex]

The probability is:

[tex]Pr = \frac{n(n)}{N}[/tex]

[tex]Pr = \frac{4}{16}[/tex]

[tex]Pr = 0.25[/tex]

 

Solving (a): Probability that the outcome of at least 2 consecutive flips is head.

The possible outcomes for this event are:

[tex]n = \{(HHHH), (HHHT),(HHTH), (HTHH),(THHH),(TTHH),(HHTT), (THHT)\}[/tex]

[tex]n(n) = 8[/tex]

The probability is:

[tex]Pr = \frac{n(n)}{N}[/tex]

[tex]Pr = \frac{8}{16}[/tex]

[tex]Pr = 0.50[/tex]

If you can solve it please tell me (20 points)​

Answers

Answer:

D E false, F true

Step-by-step explanation:

Monitors manufactured by TSI Electronics have life spans that have a normal distribution with a standard deviation of 1800 hours and a mean life span of 14,000 hours. If a monitor is selected at random, find the probability that the life span of the monitor will be more than 16,141 hours. Round your answer to four decimal places.

Answers

Answer:

6

Step-by-step explanation:

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In the year 1986 reg Morris ate 30 hotdogs in 64 seconds how many seconds per hotdog is this

Answers

Answer:

Step-by-step explanation:

Time taken to eat 30 hot dogs = 64 seconds

Time taken to eat 1 hot hot dog = 64 ÷ 30

                                                    ≈ 2 seconds

Hannah signs on a $148,500 mortgage at a 4.5% annual interest rate for 20 years. This results in a monthly payment is
$938.48. If only the minimum payment is made in month one, how much of the first payment goes toward reducing her
balance?
First let's find the amount of interest she paid in month 1, then find the amount toward reducing the balance.
Round to the nearest cent.

Answers

Answer:

Interest in one month= 556.88

Her balance is reduced by= 381.6

Step-by-step explanation:

Find the zeros of the function.
Enter the solutions from least to greatest.
g(x) = 7x^2 – 567
lesser x =
greater x =

Answers

Answer:

Lesser x = -9

Greater x = 9

Step-by-step explanation:

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