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.