- #1
rhyno89
- 21
- 0
Homework Statement
For a given cdf: Fy(y) = 0 for y less than 0
= y^2 for the range 0 to 1
= 1 for all values greater than or equal to 1
the problem asks to find P(1/2 < Y < 3/4) first using the cdf and then using the pdf
Homework Equations
The Attempt at a Solution
Okay so the first part of this i was able to do easily. Since its giving the cdf you just have to plug in the two values of the range and the end result is 5/16
Using the pdf to find the answer is where i ran into trouble
I kno that the relationship b/w the cdf and the pdf is that the cdf is the anti derivative of the pdf so i began by differentiating the values of Y over the range.
This of course gave me 0, 2y and 0 for the different ranges.
Because of this however, the values for either of the two ranges give me a probability greater than 1 and that alone violates the laws around it so that doesn't work even if the answer would have matched up, which it doesn't anyway. So I am guessing the problem is how I calculated the pdf...any tips?
Thanks