9709 · topic questions
Sampling and estimation
12 past-paper questions on Sampling and estimation
The random variable X has the distribution B(8, 3/4). A random sample of 100 values of X is chosen, and the sample mean, X, is…
A biased spinner has four sides. Each side is of a different colour: yellow, red, green or black. The probability, p, that the…
A student wishes to estimate the proportion, p, of students at her college who have exactly one brother. She surveys a random…
The times, T minutes, taken by a random sample of 75 students to complete a test were noted. The results were summarised by Σt =…
The time taken in minutes for a certain daily train journey has a normal distribution with standard deviation 5.8. For a random…
The height of a certain species of plant is denoted by Hcm. The heights of a random sample of 100 plants were measured, and the…
A random sample of 8 boxes of cereal from a certain supplier was taken. Each box was weighed and the masses in grams were as…
You should now assume that your estimates from part (a) are the true values of the population mean and variance of T. The times…
At Florence's college, in a random sample of 40 students, it was found that 5 own a Pumpkin phone. (c) Calculate an approximate…
There were 30 students in Henri's sample. He asked each of them how much time, X hours, they spent on social media each week, on…
The heights of a certain species of deer are known to have standard deviation 0.35 m. A zoologist takes a random sample of 150 of…
Henri wants to choose a random sample from the 804 students at his college. He numbers the students from 1 to 804 and then uses…
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Sampling and estimation (9709) past-paper questions — marked instantly
These are real Cambridge Mathematics past-paper questions on Sampling and estimation. Open one, attempt it, then upload your working — MarkScheme grades it against the official 9709 mark scheme so you see exactly where the marks are won and lost on this topic.
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