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
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.CR: Chapter 13 Review
Problem 8CR
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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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