The probability density function of the net weight in ounces of a packaged compound is f(x) =x/40 for 19
a. Determine the probability that a package weighs less than 20 ounces.
b. Suppose that the packaging specifications require that the weight be between 19.9 and 20.1 ounces. What is the probability that a randomly selected package will have a weight within these specifications?
c. Determine the mean and variance.
d. Derive and graph the cumulative distribution function (cdf) f(x)