Suppose that independent Bernoulli trials with parameter p are performed successively. Let N be the number of trials until x successes, and X be the number of successes in the first n trials. Show that x. P(N = n) = "P(X = x). n

Suppose that independent Bernoulli trials with parameter p are performed successively. Let N be the number of trials until x successes, and X be the number of successes in the first n trials. Show that x. P(N = n) = "P(X = x). n

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

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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Question

Suppose that independent Bernoulli trials with parameter p are performed successively. Let N
be the number of trials until x successes, and X be the number of successes in the first n trials.
Show that
P(N = n) = "P(X = x).

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