3.7 Consider the performance function Y = 3X1 – 2.X½X2 where X1 and X, are both normally distributed random variables with Hx, =16.6 Hx, = 18.8 Ox, = 2.45 Ox, = 2.83 The two variables are correlated, and the covariance is equal to 2.0. Determine the probability of failure if failure is defined as the state when Y< 0.
3.7 Consider the performance function Y = 3X1 – 2.X½X2 where X1 and X, are both normally distributed random variables with Hx, =16.6 Hx, = 18.8 Ox, = 2.45 Ox, = 2.83 The two variables are correlated, and the covariance is equal to 2.0. Determine the probability of failure if failure is defined as the state when Y< 0.
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Transcribed Image Text:3.7 Consider the performance function
Y = 3X1 – 2X,X2
where X, and X2 are both normally distributed random variables with
Hx, = 18.8
Ox, = 2.83
Hx, = 16.6
Ox, = 2.45
The two variables are correlated, and the covariance is equal to 2.0. Determine the probability of
failure if failure is defined as the state when Y< 0.
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