The cumulative Distribution function for a random variable isgiven by

F(x)= {0 for x<0

{x-(2x/e) for 0 <= x <= 1

{1-(1+x)e^-x for x>1

a) Show F(infinity)=1 by taking the limit as x =>infinity

b)Find P(.5<X<3)

c) Find the density function

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