2. If X is a continuous random variable having the following probability density function f(x)= (4x(9-x²)/81 0

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2. If X is a continuous random variable having the following probability density
function
(4x(9-x²)/81
f(x)=
-{1x0²
0<x<3
otherwise
FIND;
(a) The first three moments about the origin
(b) The first and second moments about the mean of X
Transcribed Image Text:2. If X is a continuous random variable having the following probability density function (4x(9-x²)/81 f(x)= -{1x0² 0<x<3 otherwise FIND; (a) The first three moments about the origin (b) The first and second moments about the mean of X
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