Question: Suppose that X is a random variable with mean 21 and standard deviation 5 . Also suppose that Y is a random variable with mean

Suppose thatXis a random variable with mean 21 and standard deviation 5 . Also suppose thatYis a random variable with mean 42 and standard deviation 10 . Find the variance and standard deviation of the random variableZfor each of the following cases

(Give your answer to three decimal places.)

a)Z=4+11X

2Z=

b)Z=11X4

2Z=

c)Z=X+Y

2Z=

d)Z=XY

2Z=

e)Z=5X4Y

2Z=

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