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Suppose that X is a random variable with mean 20 and standard deviation 4. Also suppose thatYis a random variable with mean 40 and standard

Suppose that X is a random variable with mean 20 and standard deviation 4. Also suppose thatYis a random variable with mean 40 and standard deviation 7. Assume thatX andY are independent. Find the variance and the standard deviation of the random variableZfor each of the following cases. Be sure to show your work.

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