9709 P62 - Jun 2025 - Q1 - 6 marks
9352
(a) One of a group of three students is to be chosen at random.
(a) Explain how a single throw of a fair six-sided dice could be used to make the choice. [1]
The times, in minutes, taken by students to complete a test are normally distributed with mean 125 and variance 50. Two students are chosen at random.
(b) Find the probability that the difference between the times taken by these two students to complete the test is more than 12 minutes. [5]