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In the 1980-’81 NBA season, Calvin Murphy made 95.8% of his free throw attempts. Assume that...

In the 1980-’81 NBA season, Calvin Murphy made 95.8% of his free throw
attempts. Assume that free throw attempts are independent of one another. Let X denote the
number of successful free throws out of 20 attempts.
(a) What type of random variable is X?
(b) What is the probability that Murphy will make at least 18 out of 20 free throws?
(c) Calculate the expected number of free throws made out of 20, E[X].
(d) Calculate the variance Var[X].

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