Problem 19E

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.

Answer:

Step 1 of 5:

Given, the probability density function is