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9709/52

Mathematics 9709/52 — October/November 2023

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 · The Normal Distribution · Probability · Representation of Data · Permutations and Combinations

Q1Discrete Random VariablesFree sample

A competitor in a throwing event has three attempts to throw a ball as far as possible. The random variable XX denotes the number of throws that exceed 30 metres. The probability distribution table for XX is shown below.

xx0123
P(X=x)P(X = x)0.4pprr0.15
(a)

Given that E(X)=1.1E(X) = 1.1, find the value of pp and the value of rr.

3M
(b)

Find the numerical value of Var(X)\text{Var}(X).

2M

The rest of this paper

6 more questions
  • Q2Discrete Random Variables5M
  • Q3The Normal Distribution5M
  • Q4Representation of Data8M
  • Q5The Normal Distribution8M
  • Q6Probability9M
  • Q7Permutations and Combinations · Probability10M
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