AS & A Level Mathematics (9709) — May–June 2025, Paper 65
8 questions · every question answerable online with instant point-by-point AI marking against the official mark scheme.
Start with Question 1 →The random variable X has the distribution Po(1.5). The sum of three independent values of X is denoted by S. Find P(S <= 3).
Answer this question and get it marked →A random sample of 200 values of a random variable X gives the following results. n = 200, sum(x - 2) = 60, sum((x - 2)^2) = 20 Find a 95% confidence interval for the population…
Answer this question and get it marked →Maroulla's calculator can generate random numbers between 0.000 and 0.999 inclusive, correct to 3 significant figures. She plans to use her calculator to choose a sample of…
Answer this question and get it marked →The numbers of cars and trucks arriving per minute at a fuel station are modelled by independent variables with distributions Po(0.8) and Po(0.5) respectively. Find the…
Answer this question and get it marked →Candidates for a certain diploma take two tests. Their marks for the first test and the second test are modelled by the independent variables with distributions N(38.1, 3.8^2) and…
Answer this question and get it marked →It is claimed that 28% of voters in a certain town support the Forward Now political party. A researcher suspects that the true figure is less than 28%. She interviews a random…
Answer this question and get it marked →A firm makes a certain type of battery-powered toy. The battery life is denoted by X hours and the population mean of X is supposed to be 12. The Quality Control department wished…
Answer this question and get it marked →The diagram shows the graph of the probability density function f of a random variable X. Between x = 0 and x = a the graph consists of a straight line through O with gradient k,…
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