9709/52

Mathematics 9709/52October/November 2022

Cambridge A-Level · Probability & Statistics 1 · worked solutions for every part, with the mark scheme

7
questions
50
marks
75
minutes

Topics Probability · Discrete Random Variables · The Normal Distribution · Representation of Data · Permutations and Combinations

Q1ProbabilityFree sample

On any day, Kino travels to school by bus, by car or on foot with probabilities 0.2, 0.1 and 0.7 respectively. The probability that he is late when he travels by bus is xx. The probability that he is late when he travels by car is 2x2x and the probability that he is late when he travels on foot is 0.25.

The probability that, on a randomly chosen day, Kino is late is 0.235.

(a)

Find the value of xx.

3M
(b)

Find the probability that, on a randomly chosen day, Kino travels to school by car given that he is not late.

2M

The rest of this paper

6 more questions
  • Q2The Normal Distribution7M
  • Q3Probability · Discrete Random Variables5M
  • Q4Representation of Data7M
  • Q5Probability · Discrete Random Variables7M
  • Q6Discrete Random Variables · The Normal Distribution9M
  • Q7Permutations and Combinations · Probability10M
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