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Problem 10 Suppose X is an exponential random variable, i.e., fx(x) = e#u(z) and given X uniform random variable in [0, z], i.e., Y|X Uniform(0,X). х, Y is a %3D 1. Find E(Y) 2. Find var(Y) Hint: E(X) = 1 and E (X?) = 2.

Problem 10 Suppose X is an exponential random variable, i.e., fx(x) = e#u(z) and given X uniform random variable in [0, z], i.e., Y|X Uniform(0,X). х, Y is a %3D 1. Find E(Y) 2. Find var(Y) Hint: E(X) = 1 and E (X?) = 2.

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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Problem 10 Suppose X is an exponential random variable, i.e., fx(x) = e-*u(x) and given X uniform random variable in [0, c], i.e., Y|X Uniform(0,X). х, Y is a %3! 1. Find E(Y) 2. Find var(Y) Hint: E(X) = 1 and E (X?) = 2.
Transcribed Image Text:Problem 10 Suppose X is an exponential random variable, i.e., fx(x) = e-*u(x) and given X uniform random variable in [0, c], i.e., Y|X Uniform(0,X). х, Y is a %3! 1. Find E(Y) 2. Find var(Y) Hint: E(X) = 1 and E (X?) = 2.
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