Question

Suppose that 60% of the teachers in a large school district plan to travel over the winter break. A probability experiment consists of selecting a teacher from this district at random and determining if that teacher plans to travel over winter break. If you were going to simulate this probability experiment using a random digit table, how would you assign digits to the two outcomes plans to travel and does not plan to travel?

Answer 1

Assign digits 0-5 to teachers who plan to travel and 6-9 for those who don't, corresponding to the 60% travel plan probability, using a random digit table.

Step-by-step explanation:

To simulate a probability experiment where 60% of the teachers in a school district plan to travel over winter break using a random digit table, you would assign the digits in a way that reflects this probability.

Since there are 10 possible single-digit numbers (0 to 9), you could assign six of them (0,1,2,3,4,5) to represent the teachers who plan to travel and the remaining four digits (6,7,8,9) could represent the teachers who do not plan to travel.

This way, the proportion of digits assigned matches the probability of each outcome.

When selecting a digit from the random digit table, if it’s a number from 0 to 5, it represents a teacher who plans to travel and if it's 6 to 9, it represents a teacher who does not plan to travel.