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~ 2. Let X Exponential(\ variable with PDF = = ½), let Y~ Uniform(a = 1, b = 3), and let Z be the random. fz(t) = {2/12 √2/t2 t≥1, t< 1. These have something in common: E[X] = E[Y] = E[Z] = 2. For each random variable, find the probability that it's less than this expected value. 3. Find the variance of each random variable in question 2.

~ 2. Let X Exponential(\ variable with PDF = = ½), let Y~ Uniform(a = 1, b = 3), and let Z be the random. fz(t) = {2/12 √2/t2 t≥1, t< 1. These have something in common: E[X] = E[Y] = E[Z] = 2. For each random variable, find the probability that it's less than this expected value. 3. Find the variance of each random variable in question 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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~ 2. Let X Exponential(\ variable with PDF = = ½), let Y~ Uniform(a = 1, b = 3), and let Z be the random. fz(t) = {2/12 √2/t2 t≥1, t< 1. These have something in common: E[X] = E[Y] = E[Z] = 2. For each random variable, find the probability that it's less than this expected value. 3. Find the variance of each random variable in question 2.
Transcribed Image Text:~ 2. Let X Exponential(\ variable with PDF = = ½), let Y~ Uniform(a = 1, b = 3), and let Z be the random. fz(t) = {2/12 √2/t2 t≥1, t< 1. These have something in common: E[X] = E[Y] = E[Z] = 2. For each random variable, find the probability that it's less than this expected value. 3. Find the variance of each random variable in question 2.
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