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-2 0 < x < 1 f(x) = {1-e-2 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 ±0.1 of the mean.

d. Find the standard deviation σ of the concentrations.

e. Find the probability that the concentration is within ±Ïƒ of the mean.

f. Find the cumulative distribution function of the concentration.

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

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