Consider the sample space .S; P / where S D fa; b; cg and P .a/ D 0:4, P .b/ D 0:4, and

Chapter 0, Problem 13

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Consider the sample space .S; P / where S D fa; b; cg and P .a/ D 0:4, P .b/ D 0:4, and P .c/ D 0:2. Let X be a real-valued random variable, and suppose X.a/ D 1, X.b/ D 2, and E.X / D 0. Find X.c/.

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