9. Suppose that independent Bernoulli trials with parameter p are performed successively. Let N be the number
Question:
9. Suppose that independent Bernoulli trials with parameter p are performed successively. Let N be the number of trials needed to get x successes, and X be the number of successes in the first n trials. Show that P (N = n) = x n P (X = x). Remark: By this relation, in coin tossing, for example, we can state that the probability of getting a fifth head on the seventh toss is 5/7 of the probability of five heads in seven tosses.
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Related Book For
Fundamentals Of Probability With Stochastic Processes
ISBN: 9780131453401
3rd Edition
Authors: Saeed Ghahramani
Question Posted: