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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, Uµ = 0.05 and Ua = 0.05, compute the values of the three partial derivatives, then compute P and determine ±Up.

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, Uµ = 0.05 and Ua = 0.05, compute the values of the three partial derivatives, then compute P and determine ±Up.

Calculus For The Life Sciences
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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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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