Q-5: the density function for a random variable X is given by S6(x-x²), if 0

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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Q-5: the density function for a random variable X is given by
f(x) = {6(x-x³). i o<r<1
x-x²), if 0<x<1
f(x) = {o o, otherwise
%3D
a) Find the cumulative distribution function.
b) Find p < x)
c) Find p(x < 1/4)
d) Find the mean of the random variable x.
e) Find the standard deviation of the random variable x.
Transcribed Image Text:Q-5: the density function for a random variable X is given by f(x) = {6(x-x³). i o<r<1 x-x²), if 0<x<1 f(x) = {o o, otherwise %3D a) Find the cumulative distribution function. b) Find p < x) c) Find p(x < 1/4) d) Find the mean of the random variable x. e) Find the standard deviation of the random variable x.
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