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.
Practise Edexcel A Level Maths The Normal Distribution with exam-style questions for A Level Maths. 439 questions, matched to the Edexcel A Level Maths (9MA0) specification and written in Paper 1, Paper 2 and Paper 3 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.