AS & A Level Mathematics (9709) — October–November 2024, Paper 62
7 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 the distribution B(4 500 000, 1/1 000 000). Use a Poisson distribution to calculate an estimate of P(X ≥ 4). [3]
Answer this question and get it marked →The lengths of a random sample of 50 roads in a certain region were measured. Using the results, a 95% confidence interval for the mean length, in metres, of all roads in this…
Answer this question and get it marked →A factory owner models the number of employees who use the factory canteen on any day by the distribution B(25, p). In the past the value of p was 0.8. A new menu is introduced in…
Answer this question and get it marked →A population is normally distributed with mean 35 and standard deviation 8.1. A random sample of size 140 is chosen from this population and the sample mean is denoted by X̄. Find…
Answer this question and get it marked →A machine puts sweets into bags at random. The numbers of lemon and orange sweets in a bag have the independent distributions Po(3.7) and Po(2.6) respectively. A bag of sweets is…
Answer this question and get it marked →The time, X hours, taken by a large number of people to complete a challenge is modelled by the probability density function given by f(x) = 1/x² for a ≤ x ≤ b, and f(x) = 0…
Answer this question and get it marked →The heights of one-year-old trees of a certain variety are known to have mean 2.3 m. A scientist believes that, on average, trees of this age and variety in her region are…
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