CAIE S2 2023 June — Question 2

Exam BoardCAIE
ModuleS2 (Statistics 2)
Year2023
SessionJune
TopicCombinations & Selection

2 A club has 264 members, numbered from 1 to 264 . Donash wants to choose a random sample of members for a survey. In order to choose the members for the sample he uses his calculator to generate random digits. His first 20 random digits are as follows. $$\begin{array} { l l l l } 10612 & 11801 & 21473 & 22759 \end{array}$$
  1. The numbers of the first two members in the sample are 106 and 121. Write down the numbers of the next two members in the sample.
  2. To obtain the numbers for members after the 4th member, Donash starts with the second random digit, 0 , and obtains the numbers 061 and 211. Explain why this method will not produce a random sample.