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In: Statistics and Probability

During the 2015-16 NBA season, Jodie Meeks of the Detroit Pistons had a free throw shooting...

During the 2015-16 NBA season, Jodie Meeks of the Detroit Pistons had a free throw shooting percentage of 0.906 . Assume that the probability Jodie Meeks makes any given free throw is fixed at 0.906 , and that free throws are independent.

(a) If Jodie Meeks shoots 12 free throws in a game, what is the probability that he makes at least 11 of them?

Round your answer to four decimal places.

(b) If Jodie Meeks 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 Jodie Meeks shoots 12 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 Jodie Meeks 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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