AS & A Level Mathematics (9709) — May–June 2024, Paper 63
7 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 B(4000, 0.001). Use a suitable approximating distribution to find P(2 <= X < 5).
Answer this question and get it marked →The widths, w cm, of a random sample of 150 leaves of a certain kind were measured. The sample mean of w was found to be 3.12 cm. Using this sample, an approximate 95% confidence…
Answer this question and get it marked →The masses in kilograms of large and small bags of cement have the independent distributions N(50, 2.4) and N(26, 1.8) respectively. Find the probability that the total mass of 5…
Answer this question and get it marked →In this question you should not use an approximating distribution. At an election in Menham last year, 24% of voters supported the Today Party. A student wishes to test whether…
Answer this question and get it marked →A random variable X has probability density function f given by f(x) = ax - x^3 for 0 <= x <= sqrt(2), and f(x) = 0 otherwise, where a is a constant. Show that a = 2.
Answer this question and get it marked →The numbers of green sweets in 200 randomly chosen packets of Frutos are summarised in the table. Number of green sweets 0 1 2 3 3 --- --- --- --- --- --- Number of packets 32 50…
Answer this question and get it marked →The independent random variables X and Y have the distributions Po(1.9) and Po(2.2) respectively. Find P(X + Y < 4).
Answer this question and get it marked →