Problem 4: a) Use the strong form of the Sterling approximation to compute the probability of getting exactly 500 heads and 500 tails. Even if you have access to a way to compute the factorial of 1000, do not do the exact calculation, use the Sterling approximation. Use the strong form of Sterling's approximation, In N! = N In N – N +;In 27N , to solve this problem. b) Use Sterling's approximation (strong form) to compute the probability of getting exactly 600 heads and 400 tails.

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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Problem 4:
a) Use the strong form of the Sterling approximation to compute the probability of
getting exactly 500 heads and 500 tails. Even if you have access to a way to
compute the factorial of 1000, do not do the exact calculation, use the Sterling
approximation. Use the strong form of Sterling's approximation,
In N! = N In N – N +;In 27N , to solve this problem.
b) Use Sterling's approximation (strong form) to compute the probability of getting
exactly 600 heads and 400 tails.
Transcribed Image Text:Problem 4: a) Use the strong form of the Sterling approximation to compute the probability of getting exactly 500 heads and 500 tails. Even if you have access to a way to compute the factorial of 1000, do not do the exact calculation, use the Sterling approximation. Use the strong form of Sterling's approximation, In N! = N In N – N +;In 27N , to solve this problem. b) Use Sterling's approximation (strong form) to compute the probability of getting exactly 600 heads and 400 tails.
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