Question: A random variable X has range (0,2), and p.d.f. given by f(x)=Kx3(12x)0 Question 2 A random variable X has range (O, 2), and p.d.f. given

Question 2 A random variable X has range (O, 2), and p.d.f.

A random variable X has range (0,2), and p.d.f. given by f(x)=Kx3(12x)0

Question 2 A random variable X has range (O, 2), and p.d.f. given by where K is a suitable normalising constant. (a) Show that in order for to be a valid p.d.f. over the range (O, 2), the normalising constant K must be equal to (b) Calculate the expected value of the random variable X.

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