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4 marksProbability Diagrams (Possibility Space, Tree, Venn)

CSEC Additional Mathematics · 2017 · Paper 2 · Question 7(a)(i)

A final-year college student applies for an internship at three accounting firms: Q, R, and S. The probabilities of receiving a reply are P(Q)=0.55, P(R)=0.25, P(S)=0.20. The probability of acceptance given a reply from Q is 0.95. The probability of acceptance given a reply from R or S is 0.30 for each.

Draw a tree diagram to illustrate the information above.

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Other parts of this question

  1. 7(a)(ii)Determine the probability that the student will be accepted for an internship programme.[4 marks]
  2. 7(b)(i)Determine the mean length.[2 marks]
  3. 7(b)(ii)Determine the modal length.[1 mark]
  4. 7(b)(iii)Determine the median length.[1 mark]
  5. 7(b)(iv)Determine the interquartile range for the data.[2 marks]
  6. 7(c)(i)Calculate the probability that the first patty selected was saltfish.[4 marks]
  7. 7(c)(ii)Given that the first patty was saltfish, calculate the probability that the second patty was NOT saltfish.[2 marks]

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