3. The weekly demand for Pepsi, in thousands of liters, from a local chain of supermarkets, is a continuous random variable X having the probability density f(x) = { 2 (² J 2(x − 1), - 1 < x <2 elsewhere (a) Use geometry or an online integral calculator to find the probability that the weekly demand is between 1.2 and 1.8. (b) Use an online inegral calculator to find the mean of X. (c) Use an online inegral calculator to find the variance of X.

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