2020 JPJC P2 Q7

2020 JPJC P2 Q7

8 marks
Prelims

On average, \(8\%\) of surgical masks sold online are defective. The masks are sold in boxes of \(20\).

  1. Find the expected number of defective masks in a randomly chosen box.[2]
  2. Find the probability that there are at least \(2\) and less than \(10\) defective masks in a randomly chosen box.[2]
  3. \(4\) boxes are randomly picked for a customer. Find the probability that one box contains no more than \(3\) defective masks and the remaining boxes contain at least \(2\) defective masks each.[4]

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Answer:(i) \({1.6}\) (ii) \({0.483}\) (iii) \({0.419}\)

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