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2 marksProbability Theory

CAPE Applied Mathematics Unit 1 · 2012 · Paper 2 · Question 3(a)(ii)a)

R and Q are events with P(R) = 0.4, P(Q) = 0.6, and P(R ∩ Q) = 0.12.

State, with reason, whether R and Q are independent.

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Other parts of this question

  1. 3(a)(i)a)Calculate P(R ∪ Q).[2 marks]
  2. 3(a)(i)b)Calculate P(R|Q).[2 marks]
  3. 3(a)(ii)b)State, with reason, whether R and Q are mutually exclusive.[2 marks]
  4. 3(b)(i)a)Calculate the probability that a randomly chosen student does neither Finance nor Economics.[3 marks]
  5. 3(b)(i)b)Calculate the probability that a randomly chosen student does Economics only or Finance only.[3 marks]
  6. 3(b)(i)c)Calculate the probability that a randomly chosen student does Economics, given that he or she does Finance.[3 marks]
  7. 3(b)(ii)Two students are chosen at random from the class. Calculate the probability that one does Economics only and the other does Finance only.[3 marks]
  8. 3(c)(i)Determine the probability that the bakery will receive more than 6 orders on a given day.[2 marks]
  9. 3(c)(ii)Calculate the mean number of orders for special cakes that the bakery will expect on any day.[3 marks]

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