Question: The concentration of a reactant is a random variable with probability density function a. What is the probability that the concentration is greater than 0.5

The concentration of a reactant is a random variable with probability density function

2e-2x f(x)=1-e-2 0 0 < x < 1 otherwise

a. What is the probability that the concentration is greater than 0.5 ?

b. Find the mean concentration.

c. Find the probability that the concentration is within $\pm 0.1$ of the mean.

d. Find the standard deviation $\sigma$ of the concentrations.

e. Find the probability that the concentration is within $\pm \sigma$ of the mean.

f. Find the cumulative distribution function of the concentration.

2e-2x f(x)=1-e-2 0 0 < x < 1 otherwise

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