pdf is given by

and otherwise

I cant do the integral of so I am going to make 2 cases, and

for

So we look at

for

So we look at

So I figure the cdf should be

if

if

if

if

So i think is make sense to put with the positive case. Since the adding of the captures all the probabilities for negative values. However I think the function for is wrong. Lower numbers are giving me higher probabilities than numbers close to . So something must be wrong.