Question: A continuous random variable is said to have a Pareto(x m ,) distribution [ 15 ] if its PDF is given by where x m

A continuous random variable is said to have a Pareto(xm,α) distribution [15] if its PDF is given bya - {0 fx(x)= I'm x+1 for xm for xm

where xm,α > 0. Let X ∼ Pareto(xm,α).

a. Find the CDF of X, FX(x).

b. Find P(X > 3xm|X > 2xm).

c. If α > 2, find EX and V ar(X).

a - {0 fx(x)= I'm x+1 for xm for xm

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