# Descriptive Statistics of a continuous random variable

A continuous random variable X has the following density function:

f(x) = x, 0<=x<=1, = (2-x), 1<x<=2.

f(x) = x, 0 less than and equal to "x" less than and equal to 1, = (2-x), 1 less than x less than or equal to 2.

Full equation on top does not read out on this web site?? See written out problem for clarification.

Note: <= means less than AND equal to

a) Plot the density function

b) Find the median of X

c) Find the variance of X

d) Find P(X=.1 or .2)

https://brainmass.com/statistics/descriptive-statistics/descriptive-statistics-continuous-random-variable-104841

#### Solution Preview

Please see the attached file.

Density function of a continous random variable

A continuous random variable X has the following density function:

f(x) = x, 0<=x<=1, = (2-x), 1

f(x) = x, 0 less than ...

#### Solution Summary

The solution gives the details of deriving the mean, variance and median of a continuous random variable.