Gce Model Questions Vol1 2023 Further Mathematics Question 40

Practice objective / multiple choice question 40 from the 2023 Gce Model Questions Vol1 Further Mathematics examination.

Gce Model Questions Vol1 2023 Further Mathematics Objective / Multiple Choice Hard Difficulty
Question 40 GCE_MODEL_QUESTIONS_VOL1 • 2023 • FURTHER_MATHEMATICS • objective

A factory uses two machines. Machine M₁ produces 60 % of the items and has a defect rate of 2 %; machine M₂ produces 40 % of the items and has a defect rate of 5 %. Items are inspected in independent batches of five. Given that a randomly chosen batch contains at least one item produced by M₂, find the probability that the batch contains exactly two defective items. Give your answer as a decimal correct to three significant figures.

Answer Options

Correct Answer A. 0.00977
B. 0.0123
C. 0.00785
D. 0.00544
Correct Answer
A
Correct Option:
0.00977

About This Question

This is Gce Model Questions Vol1 2023 Further Mathematics Question 40. It is one of the objective questions from the 2023 Gce Model Questions Vol1 Further Mathematics examination.

Difficulty level: Hard .

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