(This example is a puzzle that doesn't use the theory of this section.) We've discussed how to generate a random variable with a specified distribution starting with a uniformly distributed random variable. Suppose instead that we would like to generate Bernoulli random variables with parameter p = 0.5 using flips of a biased coin. That is, suppose that the probability the coin shows H (for heads) is a, where a is some number that might not be precisely known. Explain how this coin can be used to generate independent Bernoulli random variables with p = 0.5.

(This example is a puzzle that doesn't use the theory of this section.) We've discussed how to generate a random variable with a specified distribution starting with a uniformly distributed random variable. Suppose instead that we would like to generate Bernoulli random variables with parameter p = 0.5 using flips of a biased coin. That is, suppose that the probability the coin shows H (for heads) is a, where a is some number that might not be precisely known. Explain how this coin can be used to generate independent Bernoulli random variables with p = 0.5.

College Algebra

10th Edition

ISBN:9781337282291

Author:Ron Larson

Publisher:Ron Larson

Chapter8: Sequences, Series,and Probability

Section8.7: Probability

Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....

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