b) The probability density function (p.d.f) of the random variable X is given byi)ii)iii)Toox(1-x²), 0≤x≤1otherwisef(x) = {kx(1-x²)Show that the value of k must be 4 so that f(x) is p.d.f.Calculate P (0 < x <=).Find the values of A so that P (0 < X

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Answered: b) The probability density function…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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The probability density function (p.d.f) of the random variable X is given by i) ii) iii) 0≤x≤1 f(x) = {kx(1-x²), otherwise Show that the value of k must be 4 so that f(x) is p.d.f. Calculate P (0 < x <=). Find the values of A so that P(0 < X < A) =

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b) The probability density function (p.d.f) of the random variable X is given by i) ii) 0≤x≤1 f(x) = {kx(1-x²), Show that the value of k must be 4 so that f(x) is p.d.f. Calculate P(0 < x <=). Find the values of A so that P(0 < X