6) Assume that there is a continuous random variable X with the following probability density function. f&) = {°C Sc(1 – x4), 0, 0 < x<1 otherwise a) Find the constant c, such that f(x) becomes a pdf. b) Find the mean (expected value) of the random variable x. c) p(1/3

6) Assume that there is a continuous random variable X with the following probability density function. f&) = {°C Sc(1 – x4), 0, 0 < x<1 otherwise a) Find the constant c, such that f(x) becomes a pdf. b) Find the mean (expected value) of the random variable x. c) p(1/3

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter4: Eigenvalues And Eigenvectors

Section4.6: Applications And The Perron-frobenius Theorem

Problem 24EQ

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6)
Assume that there is a continuous random variable X with the following
probability density function.
Sc(1 – x*),
0,
0 <x<1
f(x) =
otherwise
a) Find the constant c, such that f(x) becomes a pdf.
b) Find the mean (expected value) of the random variable x.
c) p(1/3<x<1/2)
d) p(x<0.5)

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