Mathematics 9709/73 — October/November 2011

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

questions

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

Q14MLinear Combinations of Random VariablesFree sample

Test scores, $X$ , have mean 54 and variance 144. The scores are scaled using the formula $Y = a + bX$ , where $a$ and $b$ are constants and $b > 0$ . The scaled scores, $Y$ , have mean 50 and variance 100. Find the values of $a$ and $b$ .

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6 more questions

Q2Sampling and Estimation5M
Q3Sampling and Estimation7M
Q4Continuous Random Variables7M
Q5Hypothesis Tests8M
Q6Linear Combinations of Random Variables8M
Q7The Poisson Distribution · Linear Combinations of Random Variables11M

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