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A) Suppose that X ∼ N(15, 20) and Y ∼ N(10, 30) are mutually independent. Find...

A) Suppose that X ∼ N(15, 20) and Y ∼ N(10, 30) are mutually independent. Find the distributions (including parameters, if any) of X + Y, X − Y , and 3X + 2Y

B) What is the median of a normally distributed random variable with mean µ and standard deviation σ?

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Answer #1

B) Normal distribution is a symmetric distribution. So, mean=median=mode.

Hence the mean is the median.

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