5. The cumulative distribution function for a Gaussian distributed random variable x with mean u and standard deviation <5 is (3) Consider the possibility that you have error in x, u and <5, and you want to compute the uncertainty in P. For values: x = 1.5, µ = 1.0 and <5 = 1.0, and for uncertainties: Jx = 0.1, Uu = 0.05 and Ua = 0.05, compute the values of the three partial derivatives, then compute Pand determine ±Up.

A First Course in Probability (10th Edition)
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6. The cumulative distribution function for a Gaussian distributed random variable x with mean u
and standard deviation <5 is (3) Consider the possibility that you have error in x, u and <5, and you
want to compute the uncertainty in P. For values: x = 1.5, µ = 1.0 and <5 = 1.0, and for uncertainties:
Ux = 0.1, Uu = 0.05 and Ua = 0.05, compute the values of the three partial derivatives, then compute
P and determine ±Up.
%3D
Transcribed Image Text:6. The cumulative distribution function for a Gaussian distributed random variable x with mean u and standard deviation <5 is (3) Consider the possibility that you have error in x, u and <5, and you want to compute the uncertainty in P. For values: x = 1.5, µ = 1.0 and <5 = 1.0, and for uncertainties: Ux = 0.1, Uu = 0.05 and Ua = 0.05, compute the values of the three partial derivatives, then compute P and determine ±Up. %3D
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