AQA Further AS Paper 2 Statistics 2022 June — Question 3

Exam BoardAQA
ModuleFurther AS Paper 2 Statistics (Further AS Paper 2 Statistics)
Year2022
SessionJune
TopicMeasures of Location and Spread
TypeCalculate statistics from discrete frequency table

3 The discrete random variable \(A\) has the following probability distribution function $$\mathrm { P } ( A = a ) = \begin{cases} 0.45 & a = 0
0.25 & a = 1
0.3 & a = 2
0 & \text { otherwise } \end{cases}$$ 3
  1. Find the median of \(A\)
    3
  2. Find the standard deviation of \(A\), giving your answer to three significant figures.
    3
  3. \(\quad\) Find \(\operatorname { Var } ( 9 A - 2 )\)