# Mean and variance of random variable

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Let Y be a random variable with p.d.f. ce^-6s for s > 0. (a) Determine c. (b) What is the mean, variance, and squared coefficient of variation of Y where the squared coefficient of variation of Y is defined as Var[Y]/(E[Y]^2)? (c) Compute Pr{Y > 6}. (d) Compute Pr{Y > 8 | Y > 2}. (e) What is the point x* such that Pr{Y > x*} = 1/3?

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The solution gives step by step procedure for the calculation of ,ean and variance of random variable.

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Let Y be a random variable with p.d.f. ce^-6s for s > 0.

(a) Determine c.

(b) What is the mean, variance, and squared coefficient of variation ...

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