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

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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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