Chapter 11.5, Problem 12PPSE

Solution

To state: How the advisor will choose the 8 members fairly if there are 24 members in a school’s drama club. The advisor wants to randomly select 8 members to help seat patrons prior to a play at a local theater.

The adviser selects the members with the allocated numbers 01, 05, 20, and 16 to assist in seating audience members before a play at a nearby theatre.

Given information:

There are 24 members in a school’s drama club. The advisor wants to randomly select 8 members to help seat patrons prior to a play at a local theater.

Explanation:

Use a random number table to arrive at a fair choice.

From 0 to 9, the digits in a random number table are generated at random. These figures can be used to simulate randomness for sampling purposes. Here's a sample of a random number:

  $\begin{array}{l}84496187326033019536583805254448712\\ 016034886218519\text{}29834908906975120514\end{array}$

The adviser can give each member of the theatre club at the school a two-digit number between 01 and 24 in order to fairly select 8 members out of the club's 24 members.

To get the numbers for the four members, read the digits from the random number table in pairs after each other. Skip any number greater than 24 because it doesn't represent any of the 24 members, such as 96 or 44. Also disregard any possible duplicates.

  $84496187326033\underset{\_}{01}95365838\underset{\_}{05}2544487120\underset{\_}{16}034886218519298349089069751\underset{\_}{20}514$

As a result, the adviser selects the members with the allocated numbers 01, 05, 20, and 16 to assist in seating audience members before a play at a nearby theatre.