Finals answers with decimals to 3 places please.

Suppose X, Y, and Z are three independent normal random variables. X has an expected value of 7 and a standard deviation of 2; Y has an expected value of 2 and a standard deviation of 4; 2 has an expected value of 5 and a standard deviation of 12. Let T = 3X + 12Y - 22 Variable X Y Z Mean(Expected Value) 7 -2 5 Standard Deviation 2 4 12 Coefcient 3 12 -2 a) What is the expected value of T? b) What is the variance of Z? c) What is the variance of T? d) What is the standard deviation of T? e) What is the probability that T is within 2.0 standard deviations of its mean? f) What is the probability that T is >100? 9) What is the probability that T is