a) The continuous random variable X has probability density function f(x) = 0(1 – x)*-1, 0 0 i) Find the cumulative distribution function, F(x), of X ii) Find P(0.25 < X < 0.75). iii) Use F(x) to obtain the median of X

a) The continuous random variable X has probability density function f(x) = 0(1 – x)*-1, 0 0 i) Find the cumulative distribution function, F(x), of X ii) Find P(0.25 < X < 0.75). iii) Use F(x) to obtain the median of X

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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Question

|A 9
a) The continuous random variable X has probability density function
f(x) = 0(1 – x)*-1 , 0<x<1,
0 > 0
i) Find the cumulative distribution function, F(x), of X
ii) Find P(0.25 < X < 0.75).
iii) Use F(x) to obtain the median of X
b) The continuous random variable Y has probability density function (pdf)
f(y) = 9ye-3y, y 2 0

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