AQA Further AS Paper 2 Statistics 2021 June — Question 3 2 marks

Exam BoardAQA
ModuleFurther AS Paper 2 Statistics (Further AS Paper 2 Statistics)
Year2021
SessionJune
Marks2
TopicUniform Distribution
TypeFind parameter n from mean

3 The random variable \(X\) has a discrete uniform distribution and takes values \(1,2,3 , \ldots , n\) The mean of \(X\) is 8 3
  1. Show that \(n = 15\)
    [0pt] [2 marks]
    LL
    3
  2. \(\quad\) Find \(\mathrm { P } ( X > 4 )\)
    3
  3. Find the variance of \(X\), giving your answer in exact form.