Please help with questions I, J and K!

[answerhappygod]

Please help with questions I, J and K!

Please Help With Questions I J And K 1 (92.27 KiB) Viewed 33 times

Suppose X, Y, and Z are three independent normal random variables. X has an expected value of 4 and a standard deviation of 1.3; Y has an expected value of 6 and a standard deviation of 0.8; Z has an expected value of -8 and a standard deviation of 0.5 Let T = 2X + 4Y + 4Z Variable Mean(Expected Value) Standard Deviation Coefficient a) What is the probability that X > 2? .9380 b) What is the expected value of T? 0 X 4 1.3 2 c) What is the variance of T? 21 d) What is the standard deviation of T? 4.5826 f) What is the probability that T is > 8? .0404 Y 6 0.8 4 e) What is the probability that T is within 0.8 standard deviations of its mean? .5763 g) What is the probability that T is < 6? .9048 h) What is the probability that 6 < T < 8? .0548 Z -8 0.5 4 i) What is the 90th percentile of the distribution of T? j) What is the probability that the X, Y, and Z are all less than their respective 90th percentiles? k) What is the probability that X + Z > 0? Enter a number. 1) Copy your R script or any other comments for the above into the text box here.