AS & A Level Mathematics (9709) — May–June 2023, Paper 63
8 questions · every question answerable online with instant point-by-point AI marking against the official mark scheme.
Start with Question 1 →A random variable X has probability density function f, where f(x) = (3/2)(1 - x^2) for 0 <= x <= 1, and f(x) = 0 otherwise. Find E(X).
Answer this question and get it marked →A club has 264 members, numbered from 1 to 264. Donash wants to choose a random sample of members for a survey. In order to choose the members for the sample he uses his…
Answer this question and get it marked →In a random sample of 100 students at Luciana's college, x students said that they liked exams. Luciana used this result to find an approximate 90% confidence interval for the…
Answer this question and get it marked →The mass, in tonnes, of steel produced per day at a factory is normally distributed with mean 65.2 and standard deviation 3.6. It can be assumed that the mass of steel produced…
Answer this question and get it marked →Last year the mean time for pizza deliveries from Pete's Pizza Pit was 32.4 minutes. This year the time, t minutes, for pizza deliveries from Pete's Pizza Pit was recorded for a…
Answer this question and get it marked →It is known that 1 in 5000 people in Atalia have a certain condition. A random sample of 12 500 people from Atalia is chosen for a medical trial. The number having the condition…
Answer this question and get it marked →A random variable X has probability density function f, where the graph of y = f(x) is a semicircle with centre (0, 0) and radius sqrt(2/pi), entirely above the x-axis. Elsewhere…
Answer this question and get it marked →A new light was installed on a certain footpath. A town councillor decided to use a hypothesis test to investigate whether the number of people using the path in the evening had…
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