The level of impurity (in percent) in the product of a certain chemical process is a random

Question:

The level of impurity (in percent) in the product of a certain chemical process is a random variable with probability density function

a. What is the probability that the impurity level is greater than 3%?
b. What is the probability that the impurity level is between 2% and 3%?
c. Find the mean impurity level.
d. Find the variance of the impurity levels.
e. Find the cumulative distribution function of the impurity level.

Distribution
The word "distribution" has several meanings in the financial world, most of them pertaining to the payment of assets from a fund, account, or individual security to an investor or beneficiary. Retirement account distributions are among the most...