AS & A Level Further Mathematics (9231) — May–June 2024, Paper 41
7 questions · every question answerable online with instant point-by-point AI marking against the official mark scheme.
Start with Question 1 →The times taken by members of a large cycling club to complete a cross-country circuit have a normal distribution with mean mu minutes. The times taken, x minutes, are recorded…
Answer this question and get it marked →A large number of students are taking a Physics course. They are assessed by a practical examination and a written examination. The marks out of 100 obtained by a random sample of…
Answer this question and get it marked →A factory produces metal discs. The manager claims that the diameters of these discs have a median of 22.0 mm. The diameters, in mm, of a random sample of 12 discs produced by…
Answer this question and get it marked →The random variable Y is the sum of two independent observations of the random variable X. The probability generating function GY(t) of Y is given by GY(t) = t^2 / (4 - 3t)^4. (a)…
Answer this question and get it marked →Two companies, P and Q, produce a certain type of paint brush. An independent examiner rates the quality of the brushes produced as poor, satisfactory or good. He takes a random…
Answer this question and get it marked →Jade is a swimming instructor at a sports college. She claims that, as a result of an intensive training course, the mean time taken by students to swim 50 metres has reduced by…
Answer this question and get it marked →The continuous random variable X has probability density function f given by f(x) = (x/4)(4 - x^2) for 0 <= x <= 2, f(x) = 0 otherwise. (a) Find Var(sqrt(X)). [4]
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