A company producing electric relays has three manufacturing plants producing 50.

Question

A company producing electric relays has three manufacturing plants producing 50.30 and 20 percent. respectively. of its product. Suppose the plants are Independent and the probabilities that a relay manufactured by these plants is defective are summarized in the following table: If a relax is selected at random from the output of the company, what is the probability that is not defective? If a relay selected at random is found to be not defective, what is the probability that it is manufactured by plant 2?

Explanation / Answer

a. That' the weighted results of proability of defect nad percentage of relays manufactured by each point

= .50*(1-.02) +.30*(1-.05) +.20*(1-.03)

=.969

b. That' = P( not defective from B) / .50*(1-.02) +.30*(1-.05) +.20*(1-.03)

= .30*(1-.05)/.969

= .294

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