Choose... (n – X +Y) ~ B(2n, q) when p+q = 1 Choose... The mgf of X+Y is 2(pe' +(1 – p))" when p=q · Choose... E[X +Y] = 2n when p+q=1
Choose... (n – X +Y) ~ B(2n, q) when p+q = 1 Choose... The mgf of X+Y is 2(pe' +(1 – p))" when p=q · Choose... E[X +Y] = 2n when p+q=1
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Question
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<p<1 and 0<q<1.
Answer the following true/false questions.
(n-X+Y) \sim B(2n,q) when p+q=1 <True or False>
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)
X(1-Y) \sim B(1,p(1-q)) when n=1
P(X=x,Y=y) = P(XY = xy)
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