The concentration of a reactant is a random variable with probability density function 2e-2 0

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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The concentration of a reactant is a random variable with probability density function
2e-2
0 <x < 1
1- e-2
f(x) =
%3D
otherwise
What is the probability that the concentration is greater than 0.5?
a.
b.
Find the mean concentration.
Find the probability that the concentration is within +0.1 of the mean.
Find the standard deviation ở of the concentrations.
C.
d.
Find the probability that the concentration is within ±ơ of the mean.
e.
f.
Find the cumulative distribution function of the concentration.
Transcribed Image Text:The concentration of a reactant is a random variable with probability density function 2e-2 0 <x < 1 1- e-2 f(x) = %3D otherwise What is the probability that the concentration is greater than 0.5? a. b. Find the mean concentration. Find the probability that the concentration is within +0.1 of the mean. Find the standard deviation ở of the concentrations. C. d. Find the probability that the concentration is within ±ơ of the mean. e. f. Find the cumulative distribution function of the concentration.
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