Neco 2025 Further Mathematics Question 35
Practice objective / multiple choice question 35 from the 2025 Neco Further Mathematics examination.
A factory uses two machines. Machine M_{1} produces 60\% of the output and its items are defective with probability 0.02; machine M_{2} produces the remaining 40\% with defect probability 0.05. An item is selected at random and inspected; the inspection perfectly detects a defect. The same item is inspected a second time and is again found defective.\n\n(i) What is the probability that the item was produced by M_{1}?\n(ii) If items are inspected sequentially until a non‑defective item is found, what is the expected number of inspections required? Give the answer to three decimal places.
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About This Question
This is Neco 2025 Further Mathematics Question 35. It is one of the objective questions from the 2025 Neco Further Mathematics examination.
Difficulty level: Hard .
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