AS & A Level Mathematics (9709) — May–June 2023, Paper 53
7 questions · every question answerable online with instant point-by-point AI marking against the official mark scheme.
Start with Question 1 →Two fair coins are thrown at the same time repeatedly until a pair of heads is obtained. The number of throws taken is denoted by the random variable X. State the value of E(X).
Answer this question and get it marked →Anil is a candidate in an election. He received 40% of the votes. A random sample of 120 voters is chosen. Use an approximation to find the probability that, of the 120 voters,…
Answer this question and get it marked →The random variable X takes the values 1, 2, 3, 4. It is given that P(X = x) = kx(x + a), where k and a are constants. Given that P(X = 4) = 3P(X = 2), find the value of a and the…
Answer this question and get it marked →The times taken, in minutes, to complete a cycle race by 19 cyclists from each of two clubs, the Cheetahs and the Panthers, are represented in the back-to-back stem-and-leaf…
Answer this question and get it marked →Jasmine throws two ordinary fair 6-sided dice at the same time and notes the numbers on the uppermost faces. The events A and B are defined as follows. A: The sum of the two…
Answer this question and get it marked →The mass of grapes sold per day by a large shop can be modelled by a normal distribution with mean 28 kg. On 10% of days less than 16 kg of grapes are sold. Find the standard…
Answer this question and get it marked →Find the number of different arrangements of the 10 letters in the word CASABLANCA in which the two Cs are not together.
Answer this question and get it marked →