AS & A Level Mathematics (9709) — May–June 2025, Paper 63
7 questions · every question answerable online with instant point-by-point AI marking against the official mark scheme.
Start with Question 1 →At a certain shop, customers arrive independently and randomly at a constant average rate of 23.4 per hour. Find the probability that, in a randomly chosen 1-minute period, at…
Answer this question and get it marked →The lengths of pencils made at a factory are normally distributed. The standard deviation of the lengths is sigma cm, and the mean is supposed to be 10 cm. An inspector thinks…
Answer this question and get it marked →A machine dispenses coffee into cups. The volume, V cm^3, of coffee in a cup was measured for a random sample of 150 cups. The results were summarised as follows. sum v = 46350…
Answer this question and get it marked →Emma needs to choose one person at random from three people, P, Q and R. She plans to throw two fair coins and note the number, n, of heads. If n is 0, she will choose P. If n is…
Answer this question and get it marked →In Urberia, the masses, in kilograms, of men have the distribution N(70.3, 5.9^2). A certain footbridge in Urberia can take a maximum safe load of 1500 kg. When n men stand on the…
Answer this question and get it marked →A random variable X has probability density function given by f(x) = ax for 0 <= x <= b, f(x) = 0 otherwise, where a and b are constants. Show that a = 2/b^2.
Answer this question and get it marked →In the past, one quarter of job applicants at a certain firm had first-class degrees. A change is made in the job description and a director of the firm believes that, on average,…
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