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

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 Ïƒ of the concentrations.
e. Find the probability that the concentration is within ±2Ïƒ of the mean.
f. Find the cumulative distribution function of the concentration.

1.2(x x 0 < 1 otherwise f(x) = 0

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