Question: The variable X has a normal distribution with mean 5 75 and standard deviation s 5 6. The variable Y has a normal distribution

The variable X has a normal distribution with mean μ 5 75 and standard deviation s 5 6. The variable Y has a normal distribution with mean μ 5 70 and standard deviation s 5 8. Variables X and Y are independent.

a. Find the mean and standard deviation of the sum X 1 Y.

b. Find the mean and standard deviation of the difference X 2 Y.

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