Gce Model Questions Vol1 2022 Further Mathematics Question 28
Practice objective / multiple choice question 28 from the 2022 Gce Model Questions Vol1 Further Mathematics examination.
In a factory, 60% of widgets are Type X and 40% are Type Y. A widget is inspected by two independent tests. For Type X the probability that a test detects a defect is 0.90 on the first test and 0.95 on the second test; for Type Y the corresponding probabilities are 0.80 and 0.85. A widget is found defective in both tests. (a) What is the probability that the widget is of Type X? (b) In a batch of 200 widgets, what is the expected number that will be detected defective in both tests?
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About This Question
This is Gce Model Questions Vol1 2022 Further Mathematics Question 28. It is one of the objective questions from the 2022 Gce Model Questions Vol1 Further Mathematics examination.
Difficulty level: Hard .
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