Question 1

If X has a binomial distribution with n = 4 and p = 0.3, find P ( X > 1).

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The answer of If X has a binomial distribution with...

Question 2

Sports Fans Suppose that past history shows that 5% of college students are sports fans. A sample of 10 students is to be selected. {Sports Fans Narrative} Find the probability that at most 1 student is a sports fan.

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The answer of Sports Fans Suppose that past history shows...

Question 3

Sports Fans Suppose that past history shows that 5% of college students are sports fans. A sample of 10 students is to be selected. {Sports Fans Narrative} Find the probability that exactly 1 student is a sports fan.

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The answer of Sports Fans Suppose that past history shows...

Question 4

Let X be a Poisson random variable with m = 8. Use the table of Poisson probabilities to calculate:

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The answer of Let X be a Poisson random variable...

Question 5

If X has a binomial distribution with n = 4 and p = 0.3, find the probability that X is at least one.

Accepted Answer

The answer of If X has a binomial distribution with...

Question 6

Let X be a binomial random variable with n = 25 and p = 0.01. 
 a. Use the binomial table to find P ( X = 0), P ( X = 1), and P ( X = 2). 
 b. Find the variance and standard deviation of X .

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Question 7

Compute the following Poisson probabilities (to 4 decimal places)using the Poisson formula:

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Question 8

Sports Fans Suppose that past history shows that 5% of college students are sports fans. A sample of 10 students is to be selected. {Sports Fans Narrative} A sample of 100 students is to be selected. What is the standard deviation of the number of sports fans you expect?

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The answer of Sports Fans Suppose that past history shows...

Question 9

Online Bankers An official from the securities commission estimates that 75% of all online bankers have profited from the use of insider information. Assume that 15 online bankers are selected at random from the commission's registry. {Online Bankers Narrative} Find the variance and standard deviation of the number of Online bankers who have profited from the use of insider information.

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The answer of Online Bankers An official from the securities...

Question 10

Let X be a Poisson random variable with m = 6. Use the table of Poisson probabilities to calculate: 
 a. P ( X £ 8)
 b. P ( X = 8)
 c. P ( X ³ 5)
 d. P (6 £ X £ 10)

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The answer of Let X be a Poisson random variable...

Question 11

Sports Fans Suppose that past history shows that 5% of college students are sports fans. A sample of 10 students is to be selected. {Sports Fans Narrative} A sample of 100 students is to be selected. What is the average number that you would expect to sports fan?

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The answer of Sports Fans Suppose that past history shows...

Question 12

A remedial program evenly enrolls tradition and non-traditional students. If a random sample of 4 students is selected from the program to be interviewed about the introduction of a new on-line class, what is the probability that all 4 students selected are traditional students?

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The answer of A remedial program evenly enrolls tradition and...

Question 13

Sports Fans Suppose that past history shows that 5% of college students are sports fans. A sample of 10 students is to be selected. {Sports Fans Narrative} Find the probability that at least 1 student is a sports fan.

Accepted Answer

The answer of Sports Fans Suppose that past history shows...

Question 14

Sports Fans Suppose that past history shows that 5% of college students are sports fans. A sample of 10 students is to be selected. {Sports Fans Narrative} Find the probability that more than 1 student is a sports fan.

Accepted Answer

The answer of Sports Fans Suppose that past history shows...

Question 15

Sports Fans Suppose that past history shows that 5% of college students are sports fans. A sample of 10 students is to be selected. {Sports Fans Narrative} Find the probability that less than 1 student is a sports fan.

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Question 16

If X has a binomial distribution with n = 4 and p = 0.3, find the probability that X is at most one.

Accepted Answer

The answer of If X has a binomial distribution with...

Question 17

Online Bankers An official from the securities commission estimates that 75% of all online bankers have profited from the use of insider information. Assume that 15 online bankers are selected at random from the commission's registry. {Online Bankers Narrative} What is the expected number of Online bankers who have profited from the use of insider information?

Accepted Answer

The answer of Online Bankers An official from the securities...

Question 18

If X has a binomial distribution with n = 4 and p = 0.3, find P ( X = 0).

Accepted Answer

The answer of If X has a binomial distribution with...

Question 19

911 Phone Calls 911 phone calls arrive at the rate of 30 per hour at the local call center. {911 Phone Calls Narrative} Find the probability of receiving two calls in a five-minute interval of time.

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The answer of 911 Phone Calls 911 phone calls arrive...

Question 20

911 Phone Calls 911 phone calls arrive at the rate of 30 per hour at the local call center. {911 Phone Calls Narrative} Find the probability of receiving exactly eight calls in 15 minutes.

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The answer of 911 Phone Calls 911 phone calls arrive...

Quiz 6: Random Variables and Discrete Probability Distributions

If X has a binomial distribution with n = 4 and p = 0.3, find P ( X > 1).

Sports Fans Suppose that past history shows that 5% of college students are sports fans. A sample of 10 students is to be selected. {Sports Fans Narrative} Find the probability that at most 1 student is a sports fan.

Sports Fans Suppose that past history shows that 5% of college students are sports fans. A sample of 10 students is to be selected. {Sports Fans Narrative} Find the probability that exactly 1 student is a sports fan.

Let X be a Poisson random variable with m = 8. Use the table of Poisson probabilities to calculate:

If X has a binomial distribution with n = 4 and p = 0.3, find the probability that X is at least one.

Let X be a binomial random variable with n = 25 and p = 0.01. a. Use the binomial table to find P ( X = 0), P ( X = 1), and P ( X = 2). b. Find the variance and standard deviation of X .

Compute the following Poisson probabilities (to 4 decimal places)using the Poisson formula:

Sports Fans Suppose that past history shows that 5% of college students are sports fans. A sample of 10 students is to be selected. {Sports Fans Narrative} A sample of 100 students is to be selected. What is the standard deviation of the number of sports fans you expect?

Let X be a Poisson random variable with m = 6. Use the table of Poisson probabilities to calculate: a. P ( X £ 8) b. P ( X = 8) c. P ( X ³ 5) d. P (6 £ X £ 10)

Sports Fans Suppose that past history shows that 5% of college students are sports fans. A sample of 10 students is to be selected. {Sports Fans Narrative} A sample of 100 students is to be selected. What is the average number that you would expect to sports fan?

A remedial program evenly enrolls tradition and non-traditional students. If a random sample of 4 students is selected from the program to be interviewed about the introduction of a new on-line class, what is the probability that all 4 students selected are traditional students?

Sports Fans Suppose that past history shows that 5% of college students are sports fans. A sample of 10 students is to be selected. {Sports Fans Narrative} Find the probability that at least 1 student is a sports fan.

Sports Fans Suppose that past history shows that 5% of college students are sports fans. A sample of 10 students is to be selected. {Sports Fans Narrative} Find the probability that more than 1 student is a sports fan.

Sports Fans Suppose that past history shows that 5% of college students are sports fans. A sample of 10 students is to be selected. {Sports Fans Narrative} Find the probability that less than 1 student is a sports fan.

If X has a binomial distribution with n = 4 and p = 0.3, find the probability that X is at most one.

If X has a binomial distribution with n = 4 and p = 0.3, find P ( X = 0).

911 Phone Calls 911 phone calls arrive at the rate of 30 per hour at the local call center. {911 Phone Calls Narrative} Find the probability of receiving two calls in a five-minute interval of time.

911 Phone Calls 911 phone calls arrive at the rate of 30 per hour at the local call center. {911 Phone Calls Narrative} Find the probability of receiving exactly eight calls in 15 minutes.