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Suppose a random variable Y has a mean E(Y ) = 12 and standard deviation SD(Y ) = 4. Suppose we define a new random variable Z = 3Y + 10. Determine...

Suppose a random variable Y has a mean E(Y ) = 12 and standard deviation SD(Y ) = 4. Suppose we define a new random variable Z = 3Y + 10. a. Determine the expected value (mean) of Z. b. Determine the standard deviation of Z.

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