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1. p(x)=0.2 e 02x is a valid probability distribution function on the interval [0,∞). (a) Use an integral equation to find the 90th percentile of the distribution, accurate to 0.001. а S (b) Use x = fx. p(x) dx to prove that the average x-value is exactly 5. D O

1. p(x)=0.2 e 02x is a valid probability distribution function on the interval [0,∞). (a) Use an integral equation to find the 90th percentile of the distribution, accurate to 0.001. а S (b) Use x = fx. p(x) dx to prove that the average x-value is exactly 5. D O

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 14E
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1. p(x) = 0.2e-0.2x is a valid probability distribution function on the interval [0,-). (a) Use an integral equation to find the 90th percentile of the distribution, accurate to 0.001. а (b) Use x = fx. p(x) dx to prove that the average x-value is exactly 5. D oleme
Transcribed Image Text:1. p(x) = 0.2e-0.2x is a valid probability distribution function on the interval [0,-). (a) Use an integral equation to find the 90th percentile of the distribution, accurate to 0.001. а (b) Use x = fx. p(x) dx to prove that the average x-value is exactly 5. D oleme
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