Question

1. Find k so that f(x) is a probability density function. k= ___________ f(x)= { 7k/x^5...

1. Find k so that f(x) is a probability density function. k= ___________

f(x)= { 7k/x^5 0 1 < x < infinity elsewhere

2. The probability density function of X is f(x). F(1.5)=___________

f(x) = {(1/2)x^3 - (3/8)x^2 0 0 < x < 2 elsewhere  

3. F(x) is the distribution function of X. Find the probability density function of X. Give your answer as a piecewise function.

F(x) = {3x^2 - 2x^3 0 0<x<1 elsewhere

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