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

Question 100

True/False

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.  Hours  Number of students (f) 415511619768991610+2\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?

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