Probability Density Function or not Example

In this class, We discuss Probability Density Function or not Example.

The reader should have prior knowledge of continuous probability distribution. Click Here.

Example 1:

A function f(x) is defined as follows.

f(x) = 0 when x <2

= 1/18(2x+ 3) when 2 <= x <= 4

= 0 when x > 4

1) Show that f(x) is a probability density function?

2) Find the probability P(2 <= x <= 3)?

Solution:

The below equation shows the area under the function f(x) = 1. To accept f(x) as a probability density function.

2)