5.1-3. Let X have the pdf f(x) = 4x³, 0 < x < 1. Find the %3D pdf of Y = X².
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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5.1-3
Transcribed Image Text:ui. Let X have the pdf f(xr) = 4x, 0 < x < 1. Find the
%3D
0<x
pdf of Y = X?.
5.1-4. Let X have the pdf f(x)
Find the pdf of Y = X².
= xe¬x*/2¸ 0 <I<x.
oC.
%3D
5.1-5. Let X have a gamma distribution with a = 3 and
A = 2. Determine the pdf of Y = VX.
%3D
5.1-6. The pdf of X is f(x) = 2r, 0 <x < 1.
%3D
(a) Find the cdf of X.
(D) Describe how an observation of X can be simulated.
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