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3 marksProbability Theory

CAPE Applied Mathematics Unit 1 · 2017 · Paper 2 · Question 3(b)(iii)

Of total monthly production, 60% are manufactured for export and the rest sold locally. 3% of exported items and 4% of local items are defective.

Given that an item selected at random is defective, calculate the probability that it is an item for export. Give your answer correct to three significant figures.

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Other parts of this question

  1. 3(a)(i)Calculate P(N).[3 marks]
  2. 3(a)(ii)State, with reason, whether M and N are independent, and whether M and N are mutually exclusive.[4 marks]
  3. 3(b)(i)In the space provided, draw a clearly labelled tree diagram to show this information.[4 marks]
  4. 3(b)(ii)Calculate the probability that an item, selected at random, is defective.[3 marks]
  5. 3(c)(i)Determine the value of p.[2 marks]
  6. 3(c)(ii)Calculate E(X) and Var(X).[6 marks]

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