for above to be vald: f(x) dx =1
f(x) dx= Ae-x/L dx =-ALe-x/L |0 =-AL*(0-1) =AL=1
A=1/L
hence mean =E(X)= xf(x) dx = (x/L)e-x/L dx =-(xe-x/L-Le-x/L) |0 =-(0-L) =L
E(X2)= (x2/L)e-x/L dx =-(x2e-x/L-2xLe-x/L-2L2e-x/L) |0 =-(0-2L2) =L2
therefore Variance =E(X2)-(E(X))2 =2L2-L2 =L2
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