Question

The number of hours needed by sixth grade students to complete a research project was recorded with the following results.    Hours   Number of students (f) 4 29 5 17 6 15 7 13 8 10 9 8 10 4 A student is selected at random. The events A and B are defined as follows. Athe event the student took at most 8 hours Bthe event the student took at least 8 hours Determine the number of outcomes that comprise the event (A & B).

Answer 1

For Event A that says at most 8 hours:

We have 29 students, 17 students, 15 students, 13 students, and 10 students.

For Event B that says at least 8 hours:

We have 10 students, 8 students, and 4 students.

Based on the possible outcomes, the common frequency that is both in at most 8 hours and at least 8 hours is 10 students. Therefore, the number of outcomes that comprises Event A and B is 10 students.