he 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. 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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Chapter1: Combinatorial Analysis
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he 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.

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.

Expert Solution
Step 1

Let us assume X= number of students who takes Statistics 

n=number of trial = 25

p= probability of success= 0.27

So X follows a binomial distribution with n=25 and p=0.27

 

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