Suppose that you toss a fair coin until a head appearsand count the number X of consecutive tails that precede it.(a) Determine the probability that exactly n consecutive tailsoccur.(b) Determine the average number of consecutive tails thatoccur.

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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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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Suppose that you toss a fair coin until a head appears
and count the number X of consecutive tails that precede it.
(a) Determine the probability that exactly n consecutive tails
occur.
(b) Determine the average number of consecutive tails that
occur.

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