Stephen Curry's Free ThrowsDuring the 2015-16 NBA season, Stephen Curry of the Golden State Warriors had a free throw shooting percentage of 0.914 . Assume that the probability Stephen Curry makes any given free throw is fixed at 0.914 , and that free throws are independent.
(a) If Stephen Curry shoots 14 free throws in a game, what is the probability that he makes at least 13 of them? Round your answer to four decimal places.
(b) If Stephen Curry shoots 80 free throws in the playoffs, what is the probability that he makes at least 70 of them? Round your answer to four decimal places.
(c)If Stephen Curry shoots 14 free throws in a game, what are the mean and standard deviation for the number of free throws he makes during the game? Enter the exact answer for the mean, and round your answer for the standard deviation to three decimal places.
(d) If Stephen Curry shoots 80 free throws in the playoffs, what are the mean and standard deviation for the number of free throws he makes during the playoffs? Enter the exact answer for the mean, and round your answer for the standard deviation to three decimal places.
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