Last NBA season, Rudy Gobert of Minnesota Timberwolves had the league's highest field goal percentage of 0.713, that is, he scored 71.3% of his shots. Suppose you randomly choose 80 shots made by Gobert at various games last season. Let X be the number of shots that he scored points. a) What is the probability distribution of X? b) Find the mean and the standard deviation of X. c) What is the probability that Golbert scored 60 of these shots? d) What is the probability the he scored more than 50 of these shots

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