It is common in many industrial areas to use a lling

Chapter 3, Problem 2.68

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It is common in many industrial areas to use a lling machine to ll boxes full of product. This occurs in the food industry as well as other areas in which the product is used in the home, for example, detergent. These machines are not perfect, and indeed they may A, ll to specication, B, underll, and C, overll. Generally, the practice of underlling is that which one hopes to avoid. Let P(B)=0 .001 while P(A)=0 .990. (a) Give P(C). (b) What is the probability that the machine does not underll? (c) What is the probability that the machine either overlls or underlls?

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