In: Statistics and Probability
Suppose that X is a random variable with mean 20 and standard deviation 5 . Also suppose that Y is a random variable with mean 45 and standard deviation 12 . Find the variance and standard deviation of the random variable Z for each of the following cases
(Give your answer to three decimal places.)
a) Z = 4 + 11X
b) Z = 11X − 4
c) Z = X + Y
d) Z = X − Y
e) Z = −2X − 4Y