Question: You have two processes whose outputs are somewhat subject to uncertainty. You therefore consider the outputs to be random variables which you refer to as

You have two processes whose outputs are somewhat subject to uncertainty. You therefore consider the outputs to be random variables which you refer to as X and Y, respectively. You know that X and Y are independent. You dont know too much about the shapes of the distributions, but you do know that X has a mean of 8.0 and a standard deviation of 2.0. You know that Y has a mean of 3.0 and a standard deviation of 1.0. Due to the way you combine the outputs of these two processes, you need to know something about the distribution of a random variable Z = X 2Y. What are the mean and standard deviation of Z?

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