Consider biased Coin flips with head probability p. Let T_n be the the number of flips required to obtain a run of n consecutive heads. Write down a recursion for \E[T_n], the expectation of T_n, and compute \E[T_n].

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 35E
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Consider biased Coin flips with head probability p. Let T_n be the the number of flips required
to obtain a run of n consecutive heads. Write down a recursion for \E[T_n], the expectation of
T_n, and compute \E[T_n].
Transcribed Image Text:Consider biased Coin flips with head probability p. Let T_n be the the number of flips required to obtain a run of n consecutive heads. Write down a recursion for \E[T_n], the expectation of T_n, and compute \E[T_n].
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