A fair four-sided die is labelled with the numbers 1, 2, 3 and 4. The die is rolled 50 times and the score, SSS, for each roll is recorded.
Find the mean and the variance of SSS.
Using the Central Limit Theorem, find an approximation for the probability that the mean of the 50 scores is greater than 2.8.
390 exam-style questions on AQA A Level Maths 2.4 N: Statistical distributions, covering 2.4.1 Discrete distributions and the binomial, 2.4.2 The Normal distribution (A-level only), and 2.4.3 Selecting an appropriate distribution (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.