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suppose x is a continuous random variable with probability density function f(x)= (x^2)/9 if 0<x<3 0...

suppose x is a continuous random variable with probability density function f(x)= (x^2)/9 if 0<x<3 0 otherwise

find the mean and variance of x

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Answer #1

f(x) = ; 0<x<3

=0 ; otherwise

Mean , E(X) =

=

=

=

=

=9/4 = 2.25

E(X^2) =   

=

=

=

=

= 27/5 =5.4

Variance, V(X) =

=

=0.3375

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