Suppose that C, D, and E are three mutually exclusive events of a random experiment and

Chapter 9, Problem T.8

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Suppose that C, D, and E are three mutually exclusive events of a random experiment and that P(C), P(D), and P(E) are 0.5, 0.3, and 0.2, respectively. If the payoffs are $10, $6, and $100 for C, D, and E, respectively, find the mathematical expectation of the random experiment. Pick-Three Problem: The 11th-grade class decides to run a lottery to help them finance the prom. A person pays $1 and picks three different digits. If all three digits match the winning digits, the class pays the person $100 (but keeps the $1). If not, the class keeps the $1.

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