AS & A Level Mathematics (9709) — October–November 2024, Paper 63
7 questions · every question answerable online with instant point-by-point AI marking against the official mark scheme.
Start with Question 1 →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 these deer and finds that the mean height of the…
Answer this question and get it marked →The masses, in kilograms, of small and large bags of wheat have the independent distributions N(16.0, 0.4) and N(51.0, 0.9) respectively. Find the probability that the total mass…
Answer this question and get it marked →The times, T minutes, taken by a random sample of 75 students to complete a test were noted. The results were summarised by Sum(t) = 230 and Sum(t^2) = 930. Calculate unbiased…
Answer this question and get it marked →A random variable X has probability density function f defined by f(x) = a/x^2 - 18/x^3 for 2 <= x <= 3, and f(x) = 0 otherwise, where a is a constant. Show that a = 27/2.
Answer this question and get it marked →The lengths, in centimetres, of worms of a certain kind are normally distributed with mean mu and standard deviation 2.3. An article in a magazine states that the value of mu is…
Answer this question and get it marked →The numbers of customers arriving at service desks A and B during a 10-minute period have the independent distributions Po(1.8) and Po(2.1) respectively. Find the probability that…
Answer this question and get it marked →The number of accidents per year on a certain road has the distribution Po(lambda). In the past the value of lambda was 3.3. Recently, a new speed limit was imposed and the…
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