EXAMPLE 23 Notation used for the runs test for randomness

The following sequence represents the genders of 20 students in a statistics class recorded as they enter the classroom:

F F M M M F F F M F F F M M F F M F F M

Calculate the values of , , , and .

Solution

There are females and males, so that . There are runs.

NOW YOU CAN DO

Exercises 5–8.