# Finding the Probability Density Function

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Let X be a random variable with probability density distribution given by

f(x) = { x, 0 (less than or equal to) x (less than or equal to) 1,

1, 1 < x (less than or equal to) 1.5

0, otherwise.

Find the probability density function of Y=10X - 4.

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## SOLUTION This solution is **FREE** courtesy of BrainMass!

Please see the attached file.

Solution. We can find the probability mass function for Y.

1) When

2) When

3) When

4) When

So, the probability density function of Y=10X-4 is

https://brainmass.com/statistics/probability-density-function/finding-probability-density-function-504513