Question

Let X be a random variable with probability density function f(x) = {3/10x(3-x) if 0<=x<=2 .........{0...

Let X be a random variable with probability density function

f(x) = {3/10x(3-x) if 0<=x<=2

.........{0 otherwise

a) Find the standard deviation of X to four decimal places.

b) Find the mean of X to four decimal places.

c) Let y=x2 find the probability density function fy of Y.

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