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9709/52

Mathematics 9709/52 — May/June 2021

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

7
questions
50
marks
75
minutes

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

Q1Discrete Random VariablesFree sample

An ordinary fair die is thrown repeatedly until a 5 is obtained. The number of throws taken is denoted by the random variable XX.

(a)

Write down the mean of XX.

1M
(b)

Find the probability that a 5 is first obtained after the 3rd throw but before the 8th throw.

2M
(c)

Find the probability that a 5 is first obtained in fewer than 10 throws.

2M

The rest of this paper

6 more questions
  • Q2The Normal Distribution4M
  • Q3Probability6M
  • Q4Discrete Random Variables6M
  • Q5Probability · Discrete Random Variables · The Normal Distribution9M
  • Q6Permutations and Combinations · Probability10M
  • Q7Representation of Data10M
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