Suppose X, Y, and Z are three independent normal randomvariables. X has an expected value of 4 and a standard deviation of1.3;
Y has an expected value of 6 and a standard deviation of0.8;
Z has an expected value of -8 and a standard deviation of0.5
Let T = 2X + 4Y + 4Z
e) What is the probability that T is within 0.8 standarddeviations of its mean?
i) What is the 90th percentile of the distribution of T?
j) What is the probability that the X, Y, and Z are all lessthan their respective 90th percentiles?
k) What is the probability that X + Z > 0?
Suppose X, Y, and Z are three independent normal random variables. X has an expected value of 4 and a standard deviation
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Suppose X, Y, and Z are three independent normal random variables. X has an expected value of 4 and a standard deviation
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