The pdf of weekly gravel sales X is given by- {*(¹5)0f(x) =k(1-x²) 0≤x≤1otherwise(a) Find the value of k that makes f(x) a probability density function;(b) Find the expected value of X;(c) Find the probability P(-2 < X < 1/2).

Given that Probability density function pmf is f(x)=k(1-x2) , 0<x<1 0 ,…

Answered: The pdf of weekly gravel sales X is…

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter13: Probability And Calculus

Section13.1: Continuous Probability Models

Problem 7E

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The pdf of weekly gravel sales X is given by k(1-x²) { 0 f(x) = 0≤x≤ 1 otherwise (a) Find the value of k that makes f(x) a probability density function; (b) Find the expected value of X; (c) Find the probability P(-2 < X < 1/2).