A soft-drink bottling company maintains records of the number of unacceptable bottles obtained from its two...

A soft-drink bottling company maintains records of the number of unacceptable bottles obtained from its two filling and capping machines. A trial inspection of a production run of 1000 bottles showed that 430 came from Machine I and 570 from Machine II. Ten bottles from Machine I and 25 from Machine II were nonconforming.

(a) Use the above information to estimate the probabilities in the contingency table:

	Conforming	Nonconforming	TOTAL
Machine I
Machine II
TOTAL

(b) What proportion of the total output is nonconforming?

(c) If a randomly-chosen bottle is found to be nonconforming, what is the probability that it was produced on Machine II?

(d) Which machine seems to be better? Calculate relevant probabilities and discuss.

Solutions

Expert Solution

This question is based on the conditional probability theorem.

orchestra answered 1 year ago

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