Question: 4. [15 marks] Consider the following density function KAk f(x; k, A) r(k+1) for r > >, (4) with shape parameter k > 2 and

 4. [15 marks] Consider the following density function KAk f(x; k,
A) r(k+1) for r > >, (4) with shape parameter k >

4. [15 marks] Consider the following density function KAk f(x; k, A) r(k+1) for r > >, (4) with shape parameter k > 2 and scale parameter > > 0. a) Give an explicit formula for the cumulative distribution function F(.) of a random variable X having density function f(r; k, A). b) Give an explicit formula for the inverse function F-1(.)

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