Question: Please explain how to get the answers given. 5) Random variables X and Y are both normally distributed with mean 100 and standard deviation 4.

Please explain how to get the answers given. 5) Random variables X

Please explain how to get the answers given.

5) Random variables X and Y are both normally distributed with mean 100 and standard deviation 4. It is known that random variable X and Y are independent. a. What is the mean of X+Y ? b.WhatisthestandarddeviationofX+Y? 200245.66

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