Cambridge A Level Mathematics 9709 — 2007 May/June Paper 7 · Variant 1
9709/71/M/J/07 · 2 questions · 50 marks · ≈56 min
The question paper and its mark scheme, free to read here and free to download. This is Cambridge’s own paper, exactly as it was sat.
Question paper4 pages
Mark scheme6 pages
Answers below. Sit the paper first if you are practising.
Questions as text
Q2 · The random variable X has the distribution N(3.2, 1.22)
2 The random variable X has the distribution N(3.2, 1.22). The sum of 60 independent observations of X is denoted by S. Find P(S > 200). [5]
Mark scheme: 2 [ ]2
Q3 · A machine has produced nails over a long period of time, where the length in millimetres…
3 A machine has produced nails over a long period of time, where the length in millimetres was distributed as N(22.0, 0.19). It is believed that recently the mean length has changed. To test this belief a random sample of 8 nails is taken and the mean length is found to be 21.7 mm. Carry out a hypothesis test at the 5% significance level to test whether the population mean has changed, assuming that the variance remains the same. [5]
Mark scheme: 2 3 4 2 2(ii) µ = ∫ 3 x / 4 − 3 x / 4 dx =[3 x / 16 − 3 x / 8 ]1 M1 attempt to integrate xf(x), any limits
What was in this paper
The subtopics covered by these 2 questions, and how many questions each got. Open one in a new tab to see every Cambridge question on it.
What you needed in this session
Cambridge’s own grade thresholds for 2007 May/June, Paper 7 · Variant 1. A higher threshold means an easier paper — the bar moves with how the cohort did.