题目
Problem
The names of the 400 employees of a company are listed alphabetically in a book.
The chairperson of the company wishes to select a sample of 8 employees.
The chairperson numbers the employees from 001 to 400
(a) Describe how the list of numbers can be used to select a systematic sample of 8 employees.
(b) State one disadvantage of systematic sampling in this case.
(c) Write down the probability that the sample includes both the first name (employee 001) and the last name (employee 400) in the list.
(2)
(1)
(1)
(Total for Question 1 is 4 marks)
题目中文翻译
一家公司的 400 名员工姓名按字母顺序列在一本书中。
公司董事长希望抽取 8 名员工的样本。
董事长将员工编号从 001 到 400。
(a) 说明如何利用这些编号列表抽取一个 8 人的系统抽样。
(b) 写出这种情况下系统抽样的一个缺点。
(c) 写出样本同时包含名单中的第一个姓名（员工 001）和最后一个姓名 （员工 400）的概率。