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Question Two fair dice are rolled. The sample S contains the 36 combinations of two numbers. For each member (r, s) of S, the random variable X(r, s) = r + s. Find the expected value of the sum of the numbers that come up when two fair dice are rolled.

Question

Two fair dice are rolled. The sample S contains the 36 combinations of two numbers. For each member (r, s) of S,

the random variable

X(r, s) = r + s.

Find the expected value of the sum of the numbers that come up when two fair dice are rolled.

 
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