AS & A Level Mathematics (9709) — October–November 2023, Paper 63
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 N(410, 400). Find the probability that the mean of a random sample of 36 values of X is less than 405.
Answer this question and get it marked →In a survey of 300 randomly chosen adults in Rickton, 134 said that they exercised regularly. This information was used to calculate an alpha% confidence interval for the…
Answer this question and get it marked →A website owner finds that, on average, his website receives 0.3 hits per minute. He believes that the number of hits per minute follows a Poisson distribution. Assume that the…
Answer this question and get it marked →The masses, in kilograms, of chemicals A and B produced per day by a factory are modelled by the independent random variables X and Y respectively, where X ~ N(10.3, 5.76) and Y ~…
Answer this question and get it marked →In the past the number of enquiries per minute at a customer service desk has been modelled by a random variable with distribution Po(0.31). Following a change in the position of…
Answer this question and get it marked →A continuous random variable X takes values from 0 to 6 only and has a probability distribution that is symmetrical. Two values, a and b, of X are such that P(a < X < b) = p and…
Answer this question and get it marked →A biologist wishes to test whether the mean concentration mu, in suitable units, of a certain pollutant in a river is below the permitted level of 0.5. She measures the…
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