6. Before starting to play the roulette in a casino, you want to look for biases that you can exploit. You therefore watch 100 rounds that result in a number between 1 and 36 (Note for simplicity we assume the roulette has only 36 numbers from 1 to 36, that is, there is no number 0). You count the number of rounds for which the result is an odd number. If the count exceeds 55, you conclude that the roulette is not fair. Assume the roulette is indeed fair. Use the Central Limit Theorem to find an approxi- mation for the probability that you will draw the wrong conclusion. Hint: If we use X; to indicate whether the number is odd or not in round i, what kind of distribution is X;? What is its mean and variance?

6. Before starting to play the roulette in a casino, you want to look for biases that you can exploit. You therefore watch 100 rounds that result in a number between 1 and 36 (Note for simplicity we assume the roulette has only 36 numbers from 1 to 36, that is, there is no number 0). You count the number of rounds for which the result is an odd number. If the count exceeds 55, you conclude that the roulette is not fair. Assume the roulette is indeed fair. Use the Central Limit Theorem to find an approxi- mation for the probability that you will draw the wrong conclusion. Hint: If we use X; to indicate whether the number is odd or not in round i, what kind of distribution is X;? What is its mean and variance?

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Description: Use the Central Limit Theorem to find an approxi-mation for the probability that you will draw the wrong conclusion. 6. Before starting to play the roulette in a casino, you want to look for biasesthat you can exploit. You therefore watch 100 rounds

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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