Question: The roll of a pair of dice has the following probability distribution, where the random variable x is the sum of the values produced by

The roll of a pair of dice has the following probability distribution, where the random variable x is the sum of the values produced by each die:

x P(x) x P(x)
2 1/36 8 5/36 3 2/36 9 4/36 4 3/36 10 3/36 5 4/36 11 2/36 6 5/36 12 1/36 7 6/36

a. Calculate the expected value of x.

b. Calculate the variance of x.

c. Calculate the standard deviation of x.

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