# Thread: Not the Uniform Distribution

1. ## Not the Uniform Distribution

Let X have the following CDF:

(a)Find the PDF f(x).
(b)Find P(1 < X < 1.5).

2. Originally Posted by aaronrj
Let X have the following CDF:

(a)Find the PDF f(x).
(b)Find P(1 < X < 1.5).
The PDF is the derivative of your CDF. Use this fact to get started.
And you can either use your CDF or PDF to calculate part (b). (Think about what it is asking)

3. so would i just find the derivative of 1/8x + 3/16x^2 and plug in for F(b)-F(a)? In which case it would be 1/8 + 3/16x = 1/8 + 3/16(2) - 1/8+3/16(0)= 3/8?

4. Originally Posted by aaronrj
so would i just find the derivative of 1/8x + 3/16x^2 and plug in for F(b)-F(a)? In which case it would be 1/8 + 3/16x = 1/8 + 3/16(2) - 1/8+3/16(0)= 3/8?
The derivative of $F(x)$ is the density.

The probability $P(a

CB