Suppose X, Y, and z are three independent rinrmal random variables. x has an expected value of .7 and a standard deviation or1.6; v has an expected value or as and a standard deViation of1.8; Z has an expected value of a and a standard deviation at 1.4 Let T = 2x + All + 72 variable Mean(Expected value) standard Deviation a) What is the probability that x > -57 b) What is the expected value of T" c) What is the variance at T? d) What is the standard deviation of 1'? e) What is the probability that T is within 0.9 of its standard deviations of its mean? f) what is the probability thatT is > 7? Q) what is the probability that T is m l) Copy your R script or any other comments for the above into the text box here