HA1011 Tutorial Questions On Applied Quantitative Methods - Assessment 1

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Week 5 Question (10 marks)

a. Given the following probabilities, calculate all the joint probabilities.

  • P(A) =0.9
  • P(Ā) =0.1
  • P(B/A) =0.4
  • P (B/ Ā) =0.7 (4 marks)

b. A coin is flipped three (3) times. Use a probability tree to find the probability of observing:

  1. No heads
  2. Exactly one head
  3. Exactly two heads
  4. At least one tail (6 marks)

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