Let f(x) = kx2(5 – x) if 0 < x < 5 and f(x) = 0 if x < 0 or x > 5.(a) For what value of k is fa probability density function?k%3D(b)For that value of k, find P(x 2 3).(c) For that value of k, find the mean.

Answered: Let f(x) = kx2(5 – x) if 0 < x< 5 and…

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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Let f(x) = kx2(5 – x) if 0 < x< 5 and f(x) = 0 if x < 0 or x > 5. (a) For what value of k is fa probability density function? k = (b) For that value of k, find P(X 2 3). (c) For that value of k, find the mean.