Suppose we generate a random variable x in the following


Suppose we generate a random variable X in the following way. First we ?ip a fair coin. If the coin is heads, take X to have a Unif(0,1) distribution. If the coin is tails, take X to have a Unif(3,4) distribution.

(a) Find the mean of X.

(b) Find the standard deviation of X.

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Basic Statistics: Suppose we generate a random variable x in the following
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