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27-05-2023
Mathematics

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It is known that 47% of new freshmen at State University will graduate within 6 years. Suppose we take a random sample of n=64 new freshmen at State University. Let X = the number of these freshmen who graduate within 6 years. (Do not use a normal approximation for this problem. This is a binomial problem.)
a) What is the probability that X < 29? ___
b) What is the probability that 28 ≤x≤ 31?
c) What is the probability that X = 31?
d) What is the expected value of X? _
e) What is the variance of X? ___

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