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

## 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

This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

© BrainMass Inc. brainmass.com October 4, 2022, 5:08 pm ad1c9bdddf>
https://brainmass.com/statistics/probability-density-function/finding-probability-density-function-504513