Question: 3. Consider the random variable X: The number of even numbers showing when a pair of standard six-sided dice are rolled. a. Create the

3. Consider the random variable X: The number of even numbers showing

3. Consider the random variable X: The number of even numbers showing when a pair of standard six-sided dice are rolled. a. Create the probability distribution for X. b. Find the mean of X. c. Find the standard deviation of X. d. Suppose that Y = the amount won when playing the following game: You pay 5 dollars to play, but win $2 for each even number showing. Find the mean and standard deviation of Y.

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