Mathematics 9709/71 — May/June 2015

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

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

Q15MContinuous Random VariablesFree sample

Fig. 1

The random variable $X$ has probability density function, $f$ , as shown in the diagram, where $a$ is a constant. Find the value of $a$ and hence show that $\text{E}(X) = 0.943$ correct to 3 significant figures.

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6 more questions

Q2Hypothesis Tests6M
Q3Linear Combinations of Random Variables · Sampling and Estimation6M
Q4Hypothesis Tests7M
Q5Sampling and Estimation7M
Q6The Poisson Distribution9M
Q7Linear Combinations of Random Variables · The Poisson Distribution10M

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