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9709/52

Mathematics 9709/52 — February/March 2022

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

6
questions
50
marks
75
minutes

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

Q1ProbabilityDiscrete Random VariablesFree sample

A fair red spinner has edges numbered 1, 2, 2, 3. A fair blue spinner has edges numbered −3,−2,−1,−1-3, -2, -1, -1. Each spinner is spun once and the number on the edge on which each spinner lands is noted. The random variable XX denotes the sum of the resulting two numbers.

(a)

Draw up the probability distribution table for XX.

3M
(b)

Given that E(X)=0.25E(X) = 0.25, find the value of Var(X)\text{Var}(X).

2M

The rest of this paper

5 more questions
  • Q2Discrete Random Variables6M
  • Q3Representation of Data6M
  • Q4The Normal Distribution · Probability11M
  • Q5Permutations and Combinations10M
  • Q6Discrete Random Variables · Probability12M
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