A coin that lands on heads with probability p is continually flipped. Compute the expected number of

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A coin that lands on heads with probability p is continually flipped. Compute the expected number of flips that are made until a string of r heads in a row is obtained.

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A First Course In Probability

ISBN: 9780134753119

10th Edition

Authors: Sheldon Ross

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Question Posted: Sep 09, 2021 03:09 AM

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A coin that lands on heads with probability p is continually flipped. Compute the expected number of

Question:

E[X] > pi-1(i+ E[X]) %3D i = 1 Σ +(1- p) pi-lr i =r +1

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ANSWER The expected number of flips until a string of r heads in a row is obtained can be computed using the following recursive formula Let EX be the ...View the full answer

A First Course In Probability

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