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

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.2: Exponential Functions
Problem 52E
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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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