A coin weighted so that P(H) = 2/3 and P(T) = 1/3 is tossed three times. Let X be the random variable which assigns to each point in the sample space the largest number of successive heads which occurs. Find the probability mass function of X.

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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A coin weighted so that P(H) = 2/3 and P(T) = 1/3 is tossed three times. Let X be the random
variable which assigns to each point in the sample space the largest number of successive heads
which occurs. Find the probability mass function of X.
Transcribed Image Text:A coin weighted so that P(H) = 2/3 and P(T) = 1/3 is tossed three times. Let X be the random variable which assigns to each point in the sample space the largest number of successive heads which occurs. Find the probability mass function of X.
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