AS & A Level Mathematics (9709) — October–November 2023, 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 Po(25). Use the normal approximation to the Poisson distribution to find P(X 30). [4]
Answer this question and get it marked →The length, in minutes, of mathematics lectures at a certain college has mean μ and standard deviation 8.3. The total length of a random sample of 85 lectures was 4590 minutes.…
Answer this question and get it marked →A researcher read a magazine article which stated that boys aged 1 to 3 prefer green to orange. It claimed that, when offered a green cube and an orange cube to play with, a boy…
Answer this question and get it marked →The height H, in metres, of mature trees of a certain variety is normally distributed with standard deviation 0.67. In order to test whether the population mean of H is greater…
Answer this question and get it marked →The random variable X has probability density function f given by f(x) = 1/x² for a < x < b, and f(x) = 0 otherwise, where a and b are positive constants. It is given that E(X) =…
Answer this question and get it marked →A factory makes loaves of bread in batches. One batch of loaves contains X kilograms of dried yeast and Y kilograms of flour, where X and Y have the independent distributions…
Answer this question and get it marked →A random variable X has the distribution Po(2.4). Find P(2 ≤ X < 4). [2]
Answer this question and get it marked →← October–November 2023 Paper 63 · October–November 2023 Paper 61 →