bability an NBA basketball star scores on a free throw in basketball is 0.95. Find: probability he gets his first basket on his third free throw. What assumptions are you making? probability he gets his third basket on his fifth free throw. probability he gets at least two baskets in five throws. Y = the number of misses in twenty throws. Using a Poisson approximation to the distri- ion of Y, find P(Y ≥ 2) and compare this approximate value with the true value assuming a omial distribution.

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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1. The probability an NBA basketball star scores on a free throw in basketball is 0.95. Find:
(a) the probability he gets his first basket on his third free throw. What assumptions are you making?
(b) the probability he gets his third basket on his fifth free throw.
(c) the probability he gets at least two baskets in five throws.
(d) Let Y = the number of misses in twenty throws. Using a Poisson approximation to the distri-
bution of Y, find P(Y > 2) and compare this approximate value with the true value assuming a
Binomial distribution.
Transcribed Image Text:1. The probability an NBA basketball star scores on a free throw in basketball is 0.95. Find: (a) the probability he gets his first basket on his third free throw. What assumptions are you making? (b) the probability he gets his third basket on his fifth free throw. (c) the probability he gets at least two baskets in five throws. (d) Let Y = the number of misses in twenty throws. Using a Poisson approximation to the distri- bution of Y, find P(Y > 2) and compare this approximate value with the true value assuming a Binomial distribution.
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