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The variable x has a normal distribution with mean 75 and

Question: The variable X has a normal distribution with mean μ = 75 and standard deviation σ = 6. The variable Y has a normal distribution with mean μ = 70 and standard deviation σ = 8. Variables X and Y are independent.

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

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

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Basic Statistics: The variable x has a normal distribution with mean 75 and

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