g) What is the probability that T is < 5? h) What is the probability that 5

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.2: Expected Value And Variance Of Continuous Random Variables
Problem 10E
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Suppose X, Y, and Z are three independent normal random variables. X has an expected value of -7 and a standard deviation of 1.6; Y has an
expected value of -9 and a standard deviation of 1.8; Z has an expected value of 8 and a standard deviation of 1.4 Let T = 2X + 4Y+7Z
Variable
Mean(Expected Value)
Standard Deviation
Coefficient
X
Y
-7 -9
1.8
4
1.6
2
Z
8
1.4
7
Transcribed Image Text:Suppose X, Y, and Z are three independent normal random variables. X has an expected value of -7 and a standard deviation of 1.6; Y has an expected value of -9 and a standard deviation of 1.8; Z has an expected value of 8 and a standard deviation of 1.4 Let T = 2X + 4Y+7Z Variable Mean(Expected Value) Standard Deviation Coefficient X Y -7 -9 1.8 4 1.6 2 Z 8 1.4 7
g) What is the probability that T is < 5?
h) What is the probability that 5 <T < 7?
i) What is the 92nd percentile of the distribution of T?
Transcribed Image Text:g) What is the probability that T is < 5? h) What is the probability that 5 <T < 7? i) What is the 92nd percentile of the distribution of T?
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ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,