The probability that a Santa Ana College student will have to take statistics is .27. Suppose that you selected 25 SÁC students at random. Use this information to answer the following questions. a. Is this a binomial distribution? Explain how you know, be specific and reference the problem information to show that it is a binomial. Just giving the requirements is not sufficient. b. What is the probability that exactly 6 students would need to take Statistics? Show your probability notation. You do not need to show your calculation. What is the probability that at most 8 students would have to take Statistics? Show your probability notation. You do not need to show your calculation. C.

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The probability that a Santa Ana College student will have to take statistics is .27. Suppose that
you selected 25 SAC students at random. Use this information to answer the following
questions.
Is this a binomial distribution? Explain how you know, be specific and reference the
problem information to show that it is a binomial. Just giving the requirements is not
sufficient.
b. What is the probability that exactly 6 students would need to take Statistics? Show your
probability notation. You do not need to show your calculation.
c. What is the probability that at most 8 students would have to take Statistics? Show your
probability notation. You do not need to show your calculation.
d. What is the probability that between 4 and 9 students out of the 25 would have to take
Statistics? Show your probability notation. You do not need to show your calculation.
e. What is the mean and standard deviation for the distribution? Using this information,
would it be unusual for 10 of the 25 students to have to take Statistics? Show your
work.
Transcribed Image Text:The probability that a Santa Ana College student will have to take statistics is .27. Suppose that you selected 25 SAC students at random. Use this information to answer the following questions. Is this a binomial distribution? Explain how you know, be specific and reference the problem information to show that it is a binomial. Just giving the requirements is not sufficient. b. What is the probability that exactly 6 students would need to take Statistics? Show your probability notation. You do not need to show your calculation. c. What is the probability that at most 8 students would have to take Statistics? Show your probability notation. You do not need to show your calculation. d. What is the probability that between 4 and 9 students out of the 25 would have to take Statistics? Show your probability notation. You do not need to show your calculation. e. What is the mean and standard deviation for the distribution? Using this information, would it be unusual for 10 of the 25 students to have to take Statistics? Show your work.
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Hello. Since your question has multiple sub-parts, we will solve first three sub-parts for you. If you want remaining sub-parts to be solved, then please resubmit the whole question and specify those sub-parts you want us to solve.

a) Yes, it is an example of a binomial distribution.

A binomial distribution is a type of distribution that has only two possible outcome.

In ort example, as outcome of each trial is binary that is either student is a statistics student or student is not a statistic student, it follows binomial distribution.

 

 

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