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N2011 P2 Q9

N2011 P2 Q9

Junior College 2
8 marks

Camera lenses are made by two companies, A and B. 60% of all lenses are made by A and the remaining 40% by B. 5% of the lenses made by A are faulty. 7% of the lenses made by B are faulty.

  1. One lens is selected at random. Find the probability that
    1. it is faulty,[2]
    2. it was made by A, given that it is faulty.[1]
  2. Two lenses are selected at random. Find the probability that
    1. exactly one of them is faulty,[2]
    2. both were made by A, given that exactly one is faulty.[3]

Solution:

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Answer:(i)(a) \(0.058\); (b) \(0.517\). (ii)(a) \(0.109\); (b) \(0.313\).

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