Question

The Transportation Security Administration (TSA) is responsible for airport safety. On some flights, TSA officers randomly select passengers for an extra security check prior to boarding. One such flight had 76 passengers - 12 in first class and 64 in coach class. Some passengers were surprised when none of the 10 passengers chosen for screening were seated in first class. We can use a simulation to see if this result is likely to happen by chance. How would you use random digits to imitate one repetition of the process? What variable would you measure?

Answer 1

We will use certain constraints to imitate the repetition of the process as mentioned below

To simulate one repetition of the procedure using random digits, we shall perform as follows:

from a line of the random digits table, ten one and two-digit numbers could be selected with the following conditions;

1. skipping repeated numbers

2. skipping numbers from 77    to 99  

here the numbers 01   to 12   i.e. first-class passengers in the group of selected random numbers are to be counted.

As we know, numbers represent first-class passengers while numbers to represent coach-class people.

Hence, using this we can use random digits

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