AS & A Level Mathematics (9709) — May–June 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 Po(145). Use a suitable approximating distribution to calculate P(X <= 150).
Answer this question and get it marked →Henri wants to choose a random sample from the 804 students at his college. He numbers the students from 1 to 804 and then uses random numbers generated by his calculator. The…
Answer this question and get it marked →A student wishes to estimate the proportion, p, of students at her college who have exactly one brother. She surveys a random sample of 50 students at her college and finds that…
Answer this question and get it marked →A random variable X has the distribution N(10, 12). Two independent values of X, denoted by X1 and X2, are chosen at random. Write down the value of P(X1 X2).
Answer this question and get it marked →The number of goals scored by a sports team in the first half of any match has the distribution X ~ Po(3.1). The number of goals scored by the same team in the second half of any…
Answer this question and get it marked →The masses of cereal boxes filled by a certain machine have mean 510 grams. An adjustment is made to the machine and an inspector wishes to test whether the mean mass of cereal…
Answer this question and get it marked →The probability density function, f, of a random variable X is given by f(x) = k(1 + cos x) for 0 <= x <= pi, f(x) = 0 otherwise, where k is a constant. Show that k = 1/pi.
Answer this question and get it marked →