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x is a gaussian random variable with a PDF as described above, where μ is the mean, σ is the standard deviation , and Fx(X) refers to the cumulative distribution function CDF. It is known that Fx(-0.7) = 0.500 and Fx(1.3)=0.841, what value of Xo do we find the probability Fx(Xo) = P(X

x is a gaussian random variable with a PDF as described above, where μ is the mean, σ is the standard deviation , and Fx(X) refers to the cumulative distribution function CDF. It is known that Fx(-0.7) = 0.500 and Fx(1.3)=0.841, what value of Xo do we find the probability Fx(Xo) = P(X

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 3BGP
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x is a gaussian random variable with a PDF as described above, where μ is the mean, σ is the standard deviation , and Fx(X) refers to the cumulative distribution function CDF. It is known that Fx(-0.7) = 0.500 and Fx(1.3)=0.841, what value of Xo do we find the probability Fx(Xo) = P(X<Xo) = 0.023 ?

Probability of Cases in portions of the curve Standard Deviations From The Mean Cumulative % Z Scores T Scores The Normal Distribution Probability -40 -4.0 Values = 0.0013 -2.580 -30 + 0.1% + -3.0 + 20 -1.960 =0.0214 -20 2.3% + -2.0 + 30 0.1359 I I -10 + 15.9% + -1.0 + 40 -XI 95% of values 99% of values =0.3413 0 50% + 0 + 50 =0.3413 I I I +10 84.1% + +1.0 + 60 ≈ 0.1359 1.960 1 +20 + 97.7% + +2.0 + 70 2.580 =0.0214 +30 + 99.9% +3.0 + 80 0.0013 +40 +4.0
Transcribed Image Text:Probability of Cases in portions of the curve Standard Deviations From The Mean Cumulative % Z Scores T Scores The Normal Distribution Probability -40 -4.0 Values = 0.0013 -2.580 -30 + 0.1% + -3.0 + 20 -1.960 =0.0214 -20 2.3% + -2.0 + 30 0.1359 I I -10 + 15.9% + -1.0 + 40 -XI 95% of values 99% of values =0.3413 0 50% + 0 + 50 =0.3413 I I I +10 84.1% + +1.0 + 60 ≈ 0.1359 1.960 1 +20 + 97.7% + +2.0 + 70 2.580 =0.0214 +30 + 99.9% +3.0 + 80 0.0013 +40 +4.0
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