Ex12: The time until a chemical reaction is complete (in milliseconds) is approximated by the cumulative distribution function -0.01x F(x) = { 1-6 , x ≥ 0 0, x < 0 a/ Determine the probability density function of X. o/ What proportion of reactions is complete within 200 milliseconds? c/ Determine the mean and standard deviation of X.

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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Ex12: The time until a chemical reaction is
complete (in milliseconds) is approximated by the
cumulative distribution function
-0.01x
e
',x ≥ 0
F(x) =
0₂
x < 0
a/ Determine the probability density function of X.
b/ What proportion of reactions is complete within
200 milliseconds?
c/ Determine the mean and standard deviation of X.
Transcribed Image Text:Ex12: The time until a chemical reaction is complete (in milliseconds) is approximated by the cumulative distribution function -0.01x e ',x ≥ 0 F(x) = 0₂ x < 0 a/ Determine the probability density function of X. b/ What proportion of reactions is complete within 200 milliseconds? c/ Determine the mean and standard deviation of X.
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