independently of each other.  Let the random variable X represent the number out of the 3 students who get accepted from the PhD Program. (Hint: Binomial distribution with n=3 and p=65%) What is the mean of the random variable?  (round your answer to 4 decimal places) 5. 4 students apply to a PhD program.  The program rejects 45% of all applicants.  Students are accepted and rejected independently of each other.  Let the random variable X represent the number out of the 4 students who get rejected into the PhD Program. (Hint: Binomial distribution with n=4, P=45%)

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 50E: Flexible Work Hours In a recent survey, people were asked whether they would prefer to work flexible...
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1. 3 students apply to a PhD program.  The program rejects 25% of all applicants.  Students are accepted and rejected independently of each other.  Let the random variable X represent the number of the 3 students who get rejected into the PhD Program. (Hint: Binomial distribution with n=3, P=25%)

What is the probability that less than 2 students are rejected to the program? (round your answer to 4 decimal places)

2. 4 students apply to a PhD program.  The program rejects 45% of all applicants.  Students are accepted and rejected independently of each other.  Let the random variable X represent the number of the 4 students who get rejected into the PhD Program. (Hint: Binomial distribution with n=4, P=45%)

What is the probability that more than 2 students are rejects to the program? (round your answer to 4 decimal places)

3. 4 students apply to a PhD program.  The program rejects 45% of all applicants.  Students are accepted and rejected independently of each other.  Let the random variable X represent the number of the 4 students who get rejected into the PhD Program. (Hint: Binomial distribution with n=4, P=45%)

What is the standard deviation of the random variable?  (round your answer to 4 decimal places)

4. 3 students apply to a PhD program.  The program accepts 65% of all applicants.  Students are accepted and rejected independently of each other.  Let the random variable X represent the number out of the 3 students who get accepted from the PhD Program. (Hint: Binomial distribution with n=3 and p=65%)

What is the mean of the random variable?  (round your answer to 4 decimal places)

5. 4 students apply to a PhD program.  The program rejects 45% of all applicants.  Students are accepted and rejected independently of each other.  Let the random variable X represent the number out of the 4 students who get rejected into the PhD Program. (Hint: Binomial distribution with n=4, P=45%)

What is the mean of the random variable?  (round your answer to 4 decimal places)

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