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 each die:
x P(x)
2 1/36
3 2/36
4 3/36
5 4/36
6 5/36
7 6/36
8 5/36
9 4/36
10 3/36
11 2/36
12 1/36
a. Calculate the expected value of x.
b. Calculate the variance of x.
c. Calculate the standard deviation of x.