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Homework answers / question archive / Question1)Suppose a random variable, x, arises from a binomial experiment

Question1)Suppose a random variable, x, arises from a binomial experiment

Math

Question1)Suppose a random variable, x, arises from a binomial experiment. If n = 14, and p = 0.13 , find the P(X = 3) using Excel. Round answer to 4 decimal places.

 

Question 2

If random variable X has a binomial distribution with n=9 and P(success) =p= 0.4, find the standard deviation of X. (keep 4 decimal places)

Question 3

A coin is flipped 30 times. What is the probability of getting exactly 15 heads? Round answer to 4 decimal places.

Question 4

Approximately 8% of all people have blue eyes. A random sample  people is selected, find μ. Do not round answer.

Question 5

Approximately 10% of all people are left-handed. Out of a random sample of 15 people, what is the probability that 4 of them are left-handed? Round answer to 4 decimal places.

Question 6

 shows hit information for four well known baseball players. Suppose that one hit from the table is randomly selected.

 

NAME

Run

Home

Triple

Double

Single

HITS

TOTAL

Babe

Ruth

1,517

506

136

714

2,873

Jackie

Robinson

1,054

273

54

137

1,518

Ty

Cobb

3,603

174

295

114

4,189

Hank

Aaron

2,294

624

98

755

3,771

TOTALS

8,468

1,577

583

1,720

12,351

•

 

 

Question 7

You are going to a benefit dinner, and need to decide before the dinner what you want for salad, main dish, and dessert. You have 2 different salads to choose from, 3 main dishes, and 5 desserts. How many different meals are available?

Question 8

You are opening a T-shirt store. You can have long sleeves or short sleeves, three different colors, five different designs, and four different sizes. How many different shirts can you make?

 

Question 9

How many ways can you choose 4 cookies from a cookie jar containing 25 cookies of all the same type?

 

Part 4 of 6 - Discrete Probability

Question 10

The random variable X = the number of vehicles owned. Find the probability that a person owns at least 2 vehicles.

x

0

1

2

3

4

P(X=x)

0.1

0.35

0.25

0.2

0.1

 

Question 11

Does the following table represent a valid discrete probability distribution? 1.0/ 1.0 Points

x

1

2

3

4

5

P(X=x)

0.16

0.11

0.06

- 0.36

0.21

.

Question 12

Is the following table a valid discrete probability distribution?   1.0/ 1.0 Points

x

0

1

2

3

4

P(X=x)

0.111

0.214

0.312

0.163

0.159

Question 13

Let X be the number of courses taken by a part-time student at a college. The          following table shows the probability distribution of X with probability as a percentage.

Number of Courses , x

1

2

3

Probability, P(X=x)

52%

28%

20 %

 

What is the probability that a randomly selected part-time student at this college takes at least 2 courses? (That is, find P(X ≥ 2)

 

 

Question 14

The number of rescue calls received by a rescue squad in a city follows a Poisson distribution with an average of 2.83 rescues every eight hours. What is the probability that the squad will have exactly 4 calls in two hours? Round answer to 4 decimal places.

Question 15

The mean number of visitors at a national park in one weekend is 55. Assume the variable follows a Poisson distribution. Find the probability that there will be at most 71 visitors at this park in one weekend. (That is, find P(X≤71) (keep 4 decimal places)

 

 

Question 16

If random variable X has a Poisson distribution with mean = 10, find the probability that X is more than 8. (That is, find P(X>8) (keep 4 decimal places)

 

Question 17

Suppose a random variable, x, follows a Poisson distribution. Let μ = 2.5 every minute, find the P(X ≥ 125) over an hour. Round answer to 4 decimal places.

Question 18

A bank gets an average of 12 customers per hour. Assume the variable follows a Poisson distribution. Find the probability that there will be 4 or more customers at this bank in one hour. (That is, find P(X≥4)) (keep 4 decimal places)

Question 19

In a recent study, the following data were obtained in response to the question, “Do you favor recycling in your neighborhood?”     If a person is picked at random, what is the probability that the person is either male or has no opinion regarding recycling?

Question 20

A box is filled with several party favors. It contains 12 hats, 15 noisemakers, 10 finger traps, and 5 bags of confetti. Let H = the event of getting a hat. Let N = the event of getting a noisemaker. Let F = the event of getting a finger trap. Let C = the event of getting a bag of confetti. Find P(C).

 

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