4You are given that f (x)11(x³ – 1) on the interval [1,2] and f(x)=0 elsewhere.a) Show that f(x) is a pdf.b) Manually compute the mean of this distribution.

We have given that Probability density pdf f(x)= 4/11( x3 - 1) 0 elsewhere

Answered: 4 You are given that f (x) (x³ – 1) on…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter5: Inverse, Exponential, And Logarithmic Functions

Section5.3: The Natural Exponential Function

Problem 52E

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4 You are given that f (x) (x³ – 1) on the interval [1,2] and f(x)=0 elsewhere. 11 a) Show that f(x) is a pdf. b) Manually compute the mean of this distribution.