The expoential distribution is given by
f(x) = 0 for x <0 and f(x) = Ae^-cx for x >= 0
The Attempt at a Solution
Find A so that f(x) is a probability distribution. So all that I did was use the def.
I said A∫e^(-cx) dx = 1 from 0 to ∞ I integrated it I got that A/c = 1 so A = c.
So then the next question says find P(x <1) so I did ∫ce^-ct dt = -e^(-ct) between [0,1] so I'm just confused because I have c still it isn't like it's going to drop out. So I'm thinking I did something wrong. Should A be numerical? I don't see how . Thanks