Question: The following are questions about notes 5: Binomial Random Variables 6) Suppose that 10% of all FSU undergraduates are math majors. Now, you take a

The following are questions about notes 5: Binomial Random Variables 6) Suppose that 10% of all FSU undergraduates are math majors. Now, you take a sample of 35 randomly selected FSU undergraduates and record the number of math majors. Let X = the number of math majors in the sample of 35. a. Write down the distribution of X b. What is the sample space of X? c. What is the probability that 5 to 10 students are math majors? d. What is the probability that at least 5 students are math majors? e. What is the probability that at most 3 students are math majors? f. What is the probability that more than 3 but less than 12 students are math majors? g. If we consider all samples of 35 undergraduates at FSU, what can we expect the average number of math majors to be? And what can we expect the standard deviation of the number of math majors to be

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