It is common in many industrial areas to usea filling machine to fill boxes full of product. Thisoccurs in the food industry as well as other areas inwhich the product is used in the home, for example, detergent. These machines are not perfect, and indeedthey may A, fill to specification, B, underfill, and C, overfill. Generally, the practice of underfilling is thatwhich one hopes to avoid. Let P(B) = 0.001 whileP(A) = 0.990.(a) Give P(C).(b) What is the probability that the machine does notunderfill?(c) What is the probability that the machine eitheroverfills or underfills?