1. Let X be a random variable with probability density function f(x) = {k(4 – x²) -2

A First Course in Probability (10th Edition)
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ISBN:9780134753119
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Chapter1: Combinatorial Analysis
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1. Let X be a random variable with probability density function
fx) = {k(4 – x²) -2<x<2
otherwise
(a) What is the value of k?
(b) What is the cumulative distribution function of X?
(c) Compute the mean or E[X]
Transcribed Image Text:1. Let X be a random variable with probability density function fx) = {k(4 – x²) -2<x<2 otherwise (a) What is the value of k? (b) What is the cumulative distribution function of X? (c) Compute the mean or E[X]
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