fix) Determine the probability density function of X. What proportion of reactions is complete within 200 milliseconds? Using the result that the probability density function is the derivative of F(x), we obtain x<0 0≤x [0 f(x) = { 0.01 e-a The probability that a reaction completes within 200 milliseconds is P(X<200)= F (200)=1-e²=0.8647

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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can u please elaborate the expressions in this problem. thank u

Example 4-5
Reaction Time The time until a chemical reaction is complete (in milliseconds) is approximated by
the cumulative distribution function
= F(x) = {1-e-00
8(x)= x (2-2-2016)
Determine the probability density function of X. What proportion of reactions is complete within 200 milliseconds?
Using the result that the probability density function is the derivative of F(x), we obtain
دید باشد
x < 0
0≤x
f(x) = 0.01 e-
The probability that a reaction completes within 200 milliseconds is
x<0
0≤x
P(X<200) = F (200)=1-e²=0.8647
Transcribed Image Text:Example 4-5 Reaction Time The time until a chemical reaction is complete (in milliseconds) is approximated by the cumulative distribution function = F(x) = {1-e-00 8(x)= x (2-2-2016) Determine the probability density function of X. What proportion of reactions is complete within 200 milliseconds? Using the result that the probability density function is the derivative of F(x), we obtain دید باشد x < 0 0≤x f(x) = 0.01 e- The probability that a reaction completes within 200 milliseconds is x<0 0≤x P(X<200) = F (200)=1-e²=0.8647
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