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Cambridge AS & A Level9709Frequently examined

Mathematics Probability & Statistics 2 9709: Sampling Topical Past Paper Questions

Cambridge AS & A Level Mathematics Probability & Statistics 2 (9709) past-paper questions on Sampling, free. This topic is frequently examined across 20 exam sessions. Sign in for the full topic-segregated question bank and AI worksheets.

Sample questions

Summer (May/Jun) 2026Paper 6

In a certain country, the wingspan, in cm, of adult swans has the distribution N(234.0, 6.9^{2}). (a) Find the probability that the mean wingspan for a random sample of 25 adult swans is between 232.0 cm and 235.0 cm. [4] A naturalist wishes to test whether the mean wingspan of a…

Winter (Oct/Nov) 2025Paper 6

A student notes the length, $t$ minutes, of certain lectures. The results for a random sample of 80 lectures are summarised as follows. $$ n=80 \qquad \sum t=6430 \qquad \sum t^2=519740 $$ (a) Calculate a 96% confidence interval for the population mean length of the lectures. [6]…

Spring (Feb/Mar) 2024Paper 6

A random sample of 250 people living in Barapet was chosen. It was found that 78 of these people owned a BETEC phone. (a) Calculate an approximate 98% confidence interval for the proportion of people living in Barapet who own a BETEC phone. [3] (b) Manjit claims that more than 40…

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