Compute the distributions and expectation


Two fair dice are bing tossed. Let X be the sum of the outcomes.

(a) Compute the distributions and expectation of X.

(b) Compute the distributions and expectation of X2 .

(c) Is E(X) 2 = E(X2 )? Which is bigger? Is that surprising?

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Basic Statistics: Compute the distributions and expectation
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