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Statistics / Introduction to Probability, 2 / Chapter 2 / Problem 8

Introduction to Probability, | 2nd Edition | ISBN: 9781886529236 | Authors: Dimitri P. Bertsekas John N. Tsitsiklis

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Recursive computation of the binomial PMF. Let X be a

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QUESTION:

Recursive computation of the binomial PMF. Let X be a binomial random variable with parameters n and p. Show that its PMF can be computed by starting with px (O) = (1 - p)n. and then using the recursive formula p n - k px (k + l) = I - p ' k + l ' px (k) , k = 0, 1. . . . , n - 1.

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QUESTION:

Recursive computation of the binomial PMF. Let X be a binomial random variable with parameters n and p. Show that its PMF can be computed by starting with px (O) = (1 - p)n. and then using the recursive formula p n - k px (k + l) = I - p ' k + l ' px (k) , k = 0, 1. . . . , n - 1.

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