You select one student from this group at random. Which of the following statement is true about the events "Typically walks to school" and "Junior?"
(a) The events are mutually exclusive and independent.
(b) The events are not mutually exclusive but they are independent.
(c) The events are mutually exclusive, but they are not independent.
(d) The events are not mutually exclusive, nor are they independent.
(e) The events are independent, but we do not have enough information to determine if they are mutually exclusive.

If you have a group of students chosen at random, they will all have different characteristics. They will be studying at various different grades (freshman, junior, senior, etc.) and they will have a variety of habits, such as walking to school.

Mutually exclusive events are those that cannot occur at the same time. For example, in a coin toss, you can get heads or tails, but you cannot get both. On the other hand, independent events are those that have no connection to each other, and therefore one does not affect the chances of the other one happening.

In this example, the events are not mutually exclusive because it is possible for a student to both be a junior and walk to school. These two characteristics can exist at the same time. Moreover, the fact that a student is a junior does not in any way determine whether he typically walks to school or not. Therefore, the events are independent.