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3 marksRandom Variables

CAPE Applied Mathematics Unit 1 · 2009 (second paper) · Paper 2 · Question 3(d)(ii)

Petrol station attendants work 4, 6, 8, or 10 hours overtime each week with probabilities 0.4, 0.3, k, and 0.1 respectively.

Calculate the number of overtime hours that attendants will be expected to work each week.

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Other parts of this question

  1. 3(a)(i)Calculate P(A ∪ B).[2 marks]
  2. 3(a)(ii)Determine P(A | B).[2 marks]
  3. 3(b)(i)Calculate P(G ∩ H).[2 marks]
  4. 3(b)(ii)Calculate P(G ∪ H).[2 marks]
  5. 3(c)(i)Show this information on a well-labelled tree diagram.[4 marks]
  6. 3(c)(ii)Calculate the probability that a randomly selected article is defective.[3 marks]
  7. 3(c)(iii)Given that a randomly selected item is defective, determine the probability that it was produced by machine A.[3 marks]
  8. 3(d)(i)Calculate the value of k.[2 marks]
  9. 3(d)(iii)Calculate the probability that an attendant will work less than 8 hours overtime in any week.[2 marks]

More practice: the rest of this paper · more Random Variables questions · all CAPE Applied Mathematics Unit 1 past papers