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Suppose you flip a fair coin infinitely many times. Let Ln be the number c pattern HHHT occurs in the first n flips. What are the expected value and v L? Is the variance larger or smaller than the variance of a Binomial random th the same mean? Can you explain the difference intuitively? For n = = 100, s 3000 times and make a histogram of the proportion of times each possible o

Suppose you flip a fair coin infinitely many times. Let Ln be the number c pattern HHHT occurs in the first n flips. What are the expected value and v L? Is the variance larger or smaller than the variance of a Binomial random th the same mean? Can you explain the difference intuitively? For n = = 100, s 3000 times and make a histogram of the proportion of times each possible o

MATLAB: An Introduction with Applications
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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2. Suppose you flip a fair coin infinitely many times. Let L₁ be the number of times the pattern HHHT occurs in the first n flips. What are the expected value and variance of L? Is the variance larger or smaller than the variance of a Binomial random variable with the same mean? Can you explain the difference intuitively? For n = 100, simulate Kn 3000 times and make a histogram of the proportion of times each possible outcome actually occurred in your simulation. Plot this histogram versus the probability mass function of the Binomial random variable with the same mean.
Transcribed Image Text:2. Suppose you flip a fair coin infinitely many times. Let L₁ be the number of times the pattern HHHT occurs in the first n flips. What are the expected value and variance of L? Is the variance larger or smaller than the variance of a Binomial random variable with the same mean? Can you explain the difference intuitively? For n = 100, simulate Kn 3000 times and make a histogram of the proportion of times each possible outcome actually occurred in your simulation. Plot this histogram versus the probability mass function of the Binomial random variable with the same mean.
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