Let the random variable X denote a measure- ment from a manufactured product. Suppose the target value for the measurement is w. For example, X could denote a dimensional length, and the target might be 10 millimeters. The quality loss of the process producing the product is defined to be the expected value of Sk(X-m), where k is a constant that relates a devia- tion from target to a loss measured in dollars.

(a) Suppose X is a continuous random variable with EX)=m and FX) What is the quality loss of the process?

(b) Suppose X is a continuous random variable with E(X) = and FX)=. What is the quality loss of the process?