Question: Consider a random variable y, where y=x1 + x2 + x3 + x4 x1, x2, x3 and x4 are normally distributed; their means and standard

Consider a random variable y, where y=x1 + x2 + x3 + x4

x1, x2, x3 and x4 are normally distributed; their means and standard deviations are given below.

x1; mean =16 and standard deviation 5

x2; mean=39 and standard deviation 6

x3; mean=56 and standard deviation 20

x4; mean=52 and standard deviation 21

Then the mean of y=______, (enter an integer value)

Standard deviation of y=_______ (Round answer two decimal places)

Please show all work!

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