a. The probability density function for X is f(x) = e¬× , x > 0, zero, e.w. Find the probability density function of Y (Use CDF Technique) b. Suppose that X, ~b(5,;) and Xz-b(7,) are independent random variables. Let Z = X1 + X2 + 7, show that Z~b(12,). (Use MGF method)

a. The probability density function for X is f(x) = e¬× , x > 0, zero, e.w. Find the probability density function of Y (Use CDF Technique) b. Suppose that X, ~b(5,;) and Xz-b(7,) are independent random variables. Let Z = X1 + X2 + 7, show that Z~b(12,). (Use MGF method)

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

a. The probability density function for X is
f(x) = e=x , x > 0, zero, e.w.
Find the probability density function of
Y =
(Use CDF Technique)
b.
Suppose that
X1 ~b(5,)
and
X2~b(7,)
are independent random variables. Let
Z = X1 + X2 + 7,
show that
Z~b(12,).
(Use MGF method)

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