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2. (15 points) The pdf of X is f(x) = 0xº-1, 0

2. (15 points) The pdf of X is f(x) = 0xº-1, 0

A First Course in Probability (10th Edition)
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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2. (15 points) The pdf of X is f(x) = 0xº-1, 0< x < 1,0 < 0 < 1. Let Y = 20lnX. Find Y distribution using Distribution function Technique. 3. (15 points) Let X1 and X2be independent exponential random variables: fx, (xı) = e-#1 and fx,(x2) = e-2 1< 11 <o, 1< r2 < ∞. Let Yi = X1 – X2 and Y2 = X1 + X2. Find joint pdf of Y and Y2.
Transcribed Image Text:2. (15 points) The pdf of X is f(x) = 0xº-1, 0< x < 1,0 < 0 < 1. Let Y = 20lnX. Find Y distribution using Distribution function Technique. 3. (15 points) Let X1 and X2be independent exponential random variables: fx, (xı) = e-#1 and fx,(x2) = e-2 1< 11 <o, 1< r2 < ∞. Let Yi = X1 – X2 and Y2 = X1 + X2. Find joint pdf of Y and Y2.
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