Problem 6. Use Stirling's formula to give an approximation for 4n choose 2n. Use Stirlings approximation to given an approximation for 4n choose nn. Use these approximations to approximate the probability that with 4n coin flips you get exactly 2n or exactly n heads. How do these approximations poro with th

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
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Problem 6. Use Stirling's formula to give an approximation for 4n choose
2n. Use Stirlings approximation to given an approximation for 4n choose nn.
Use these approximations to approximate the probability that with 4n coin
flips you get exactly 2n or exactly n heads. How do these approximations
compare with those given by a gaussian?
Transcribed Image Text:Problem 6. Use Stirling's formula to give an approximation for 4n choose 2n. Use Stirlings approximation to given an approximation for 4n choose nn. Use these approximations to approximate the probability that with 4n coin flips you get exactly 2n or exactly n heads. How do these approximations compare with those given by a gaussian?
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