1. Randomization Use indicator random variables to solve the following problem: Supposen customers turn in a garment for dry cleaning. While cleaning all the clothes, the dry cleaner accidentally loses the tickets and decides to randomly select a garment to give back to a customer. What is the expected number of customers that get back their own clothes? Suppose you are given a biased coin which lands heads with probability of 2/3. For an unbiased flip, you want two events with equal probability. How can use the biased coin to produce a fair flip (two events with equal probability)? Describe the two events and show that their probabilities are equal. [Hint: Consider two consecutive flips of the biased coin.]

1. Randomization Use indicator random variables to solve the following problem: Supposen customers turn in a garment for dry cleaning. While cleaning all the clothes, the dry cleaner accidentally loses the tickets and decides to randomly select a garment to give back to a customer. What is the expected number of customers that get back their own clothes? Suppose you are given a biased coin which lands heads with probability of 2/3. For an unbiased flip, you want two events with equal probability. How can use the biased coin to produce a fair flip (two events with equal probability)? Describe the two events and show that their probabilities are equal. [Hint: Consider two consecutive flips of the biased coin.]

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter9: Counting And Probability

Section9.3: Binomial Probability

Problem 2E: If a binomial experiment has probability p success, then the probability of failure is...

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