# Probability density function

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3.) Suppose X has probability density function

f(s) = c(1 + s) for -1 <= s <= 1. Determine c and the mean, variance, and standard deviation of X. Let Y = 3X + 5. compute the mean, variance, and standard deviation of Y.

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This shows how to determine c and the mean, variance, and standard deviation of a given probability density function.

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Please see the attached doc file.

We should have:

This means that:

or ...

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