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9709/63

Mathematics 9709/63 — May/June 2023

Cambridge A-Level · Probability & Statistics 2 · worked solutions for every part, with the mark scheme

8
questions
50
marks
75
minutes

Topics Sampling and Estimation · Continuous Random Variables · Hypothesis Tests · The Poisson Distribution · Linear Combinations of Random Variables

Q13MContinuous Random VariablesFree sample

A random variable XX has probability density function ff, where

f(x)={32(1−x2)0⩽x⩽1,0otherwise.f(x) = \begin{cases} \frac{3}{2}(1 - x^2) & 0 \leqslant x \leqslant 1, \\ 0 & \text{otherwise}. \end{cases}

Find E(X)\mathrm{E}(X).

The rest of this paper

7 more questions
  • Q2Sampling and Estimation3M
  • Q3Sampling and Estimation5M
  • Q4Linear Combinations of Random Variables6M
  • Q5Sampling and Estimation · Hypothesis Tests9M
  • Q6The Poisson Distribution5M
  • Q7Continuous Random Variables8M
  • Q8Hypothesis Tests · The Poisson Distribution11M
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