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3 marksProbability Theory

CAPE Applied Mathematics Unit 1 · 2022 · Paper 2 · Question 3(b)

A company manufactures three brands of vehicles, A, B and C. The percentage of customers that purchases each of these vehicles is 35%, 50% and 15% respectively. Given that a customer meets in an accident, the probability of the car being severely damaged is 0.6, 0.8 and 0.75 for vehicles A, B, and C respectively. Determine the probability that a customer using one of the vehicles meets an accident where the car is severely damaged.

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Other parts of this question

  1. 3(a)(i)If an individual is selected at random, find the probability of selecting a person who has primary education.[2 marks]
  2. 3(a)(ii)Find the probability of selecting a woman, given that she has tertiary education.[2 marks]
  3. 3(a)(iii)Find the probability of selecting a person with secondary education, given that the person is a male.[2 marks]
  4. 3(a)(iv)Determine if secondary education is independent of gender.[4 marks]
  5. 3(c)(i)Calculate the value of k.[3 marks]
  6. 3(c)(ii)Sketch the graph of f(x).[3 marks]
  7. 3(c)(iii)Determine the upper quartile.[2 marks]
  8. 3(c)(iv)Determine P(1/2 <= X <= 2).[4 marks]

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