Gce Model Questions Vol1 2017 Further Mathematics Question 14
Practice objective / multiple choice question 14 from the 2017 Gce Model Questions Vol1 Further Mathematics examination.
At a factory, 60 % of the items are produced by machine A and 40 % by machine B. The proportion of defective items is 2 % for machine A and 5 % for machine B. An item selected at random is found to be defective. (a) What is the probability that it was produced by machine A? (b) A second item, produced by the same machine as the first, is also found to be defective. What is the updated probability that the machine is A? (c) Based on the result of part (b), what is the expected number of items that must be inspected from that machine until a non‑defective item is found? Give your answer to three decimal places.
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About This Question
This is Gce Model Questions Vol1 2017 Further Mathematics Question 14. It is one of the objective questions from the 2017 Gce Model Questions Vol1 Further Mathematics examination.
Difficulty level: Hard .
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