Q-5: the density function for a random variable X is given by f(x) = {6(x-x³). i o

part D andE

Q-5: the density function for a random variable X is given by<br>f(x) = {6(x-x³). i o<r<1<br>x-x²), if 0<x<1<br>f(x) = {o o, otherwise<br>%3D<br>a) Find the cumulative distribution function.<br>b) Find p < x)<br>c) Find p(x < 1/4)<br>d) Find the mean of the random variable x.<br>e) Find the standard deviation of the random variable x.<br>

Extracted text: Q-5: the density function for a random variable X is given by f(x) = {6(x-x³). i o<><1 x-x²),="" if=""><><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="">

Jun 05, 2022

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Q-5: the density function for a random variable X is given by f(x) = {6(x-x³). i o

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