The cumulative Distribution function for a random ...

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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