When X has a binomial distribution with total number n of trials and success probability p, we use the notation, X\sim B(n,p). Suppose that independent random variables X and Y have binomial distributions such that X\sim B(n,p) and Y\sim B(n,q), where 0 The mgf X+Y of 2(pe^t + (1-p))^{n} is when p=q. E[X+Y] = 2n when p+q=1 (n-X) \sim B(n,1-p)

When X has a binomial distribution with total number n of trials and success probability p, we use the notation, X\sim B(n,p). Suppose that independent random variables X and Y have binomial distributions such that X\sim B(n,p) and Y\sim B(n,q), where 0 The mgf X+Y of 2(pe^t + (1-p))^{n} is when p=q. E[X+Y] = 2n when p+q=1 (n-X) \sim B(n,1-p)

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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