A fair coin is tossed repeatedly until head appears for the third time. Calculate the mean and variance of the total number of tails that show up. Let X be the random variable that denotes the total number of tails that show up. Write down the probability mass function and cumulative distribution function of X.

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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A fair coin is tossed repeatedly until head appears for the third time. Calculate the mean and variance of the total number of tails that show up. Let X be the random variable that denotes the total number of tails that show up. Write down the probability mass function and cumulative distribution function of X.

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