# Probability: continous random variable

The problem is attached.

Let X be a continuous random variable with probability density function fx, and set Y = cX, where c is a non-zero constant. Prove that the probability density function of Y is given by fY(x) = fX(x/c)/c.

© BrainMass Inc. brainmass.com October 10, 2019, 4:03 am ad1c9bdddfhttps://brainmass.com/math/probability/probability-continous-random-variable-447738

#### Solution Summary

Using brief, step by step calculations in an attached Word document, this solution proves the probability density function.

$2.19