Question: A continuous random variable 'x' has the probability density function as F(x)={kx(2-x), 0x2 0, elsewhere Find: (a) The value of k (b) The expected value

A continuous random variable 'x' has the probability density function as

F(x)={kx(2-x), 0x2

0, elsewhere

Find: (a) The value of k (b) The expected value of x (c) The variance and standard deviation of x(d) P( |x| < 1.5)

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