It is known that 45% of new freshmen at State University will eventually graduate. Suppose we take a random sample n=81 new freshmen at State University. graduate. (Do not use a normal approximation for this problem. This is a binomial problem.) a) What is the probability that X < 45? b) What is the probability that 40 ≤ x ≤ 50? c) What is the probability that X= 48? d) What is the expected value of X? e) What is the variance of X? f) Copy your R script for the above into the text box here. number of these

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