Determine whether the events are mutually exclusive.
-The number of hours needed by sixth grade students to complete a research project was recorded with the following results. $$\begin{array} { c c }
\text { Hours } & \text { Number of students (f) } \
\hline 4 & 15 \
5 & 11 \
6 & 19 \
7 & 6 \
8 & 9 \
9 & 16 \
10 + & 2
\end{array}$$ A student is selected at random. The events A, B, and C are defined as follows.
A = event the student took more than 9 hours
B = event the student took less than 6 hours
C = event the student took between 7 and
9 hours inclusive
Is the collection of events A, B, and C mutually exclusive?

Question

Determine whether the events are mutually exclusive.
-The number of hours needed by sixth grade students to complete a research project was recorded with the following results. $$\begin{array} { c c } 
\text { Hours } & \text { Number of students (f) } \
\hline 4 & 15 \
5 & 11 \
6 & 19 \
7 & 6 \
8 & 9 \
9 & 16 \
10 + & 2
\end{array}$$ A student is selected at random. The events A, B, and C are defined as follows.
A = event the student took more than 9 hours
B = event the student took less than 6 hours
C = event the student took between 7 and
9 hours inclusive
Is the collection of events A, B, and C mutually exclusive?

Quizplus · Accepted Answer

Events A, B, and C are mutually exclusive because no student can simultaneously satisfy more than one of these conditions.

Determine Whether the Events Are Mutually Exclusive A Student Is Selected at Random