# Finding the variance of a random variable, given its pdf

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Find the variance of the random variable Y, where the pdf of Y is given by

f(y) = 3(1 - y)^2, 0 < y < 1.

Â© BrainMass Inc. brainmass.com March 4, 2021, 6:35 pm ad1c9bdddfhttps://brainmass.com/statistics/variance/finding-variance-random-variable-given-pdf-51856

#### Solution Summary

We find the variance of a random variable Y, given its pdf. A detailed step-by-step solution is provided in the Word attachment.

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