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5 marksProbability Theory

CAPE Applied Mathematics Unit 1 · 2011 · Paper 2 · Question 4(b)(i)

A student may walk (20%), drive (30%) or travel by bus (50%) to school. The probability of being late is 0.4 for walking, 0.20 for driving, and 0.35 for travelling by bus.

Draw a tree diagram to illustrate this information showing the probability on EACH branch.

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Other parts of this question

  1. 4(a)(i)Find P(A ∩ B).[2 marks]
  2. 4(a)(ii)Find P(A ∪ B).[3 marks]
  3. 4(a)(iii)Find P(B|A).[3 marks]
  4. 4(a)(iv)Find P(A' ∩ B).[3 marks]
  5. 4(a)(v)State, with a reason, whether the events A and B are independent.[2 marks]
  6. 4(b)(ii)a)Calculate the probability that a student chosen at random will arrive late.[3 marks]
  7. 4(b)(ii)b)Calculate the probability that a student chosen at random will travel by bus given that the student is not late.[4 marks]

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