Thread: Continuous random variable with a probability density function

A continuous random variable, X, has a probability density function defind by:
f(x)= o.3e-0.3x, 0<x
= 0 elsewhere

Find:
A) The mean of X
A) The median of X
A) The mode of X
A) The variance of X
A) The standard deviation of X

I have no idea where to start; any help would be really appreciated.

Originally Posted by Supernova

A continuous random variable, X, has a probability density function defind by:
f(x)= o.3e-0.3x, 0<x
= 0 elsewhere

Find:
A) The mean of X
A) The median of X
A) The mode of X
A) The variance of X
A) The standard deviation of X

I have no idea where to start; any help would be really appreciated.

Start with the definitions:

Mean:



where is the domain of

Median is the solution to:



etc.

CB