It is common in many industrial areas to use a filling machine to fill boxes full...

It is common in many industrial areas to use a filling machine to fill 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, fill to specification, B, underfill, and C, overfill. Generally the practice of underfilling is that which one hopes to avoid. Let P(C) = 0.052 while P(A) = 0.940.

(a) What is the probability that the box is underfilled, P(B)? (b) Find P(A ∩ B).

(c) Are A and B mutually exclusive events? Why or why not? (d) Find P(A ∪ B).

(e) What is the probability that the machine does not overfill?
(f) What is the probability that the machine either overfills or underfills?

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milcah answered 8 months ago

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