Suppose that you toss a fair coin until a head appears and count the number X of
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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.
(c) Write down the infinite series that gives the variance for the number of consecutive tails. show that the variance equals 2.
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Related Book For
Calculus And Its Applications
ISBN: 9780134437774
14th Edition
Authors: Larry Goldstein, David Lay, David Schneider, Nakhle Asmar
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