For the following state whether the events created are mutua

For the following, state whether the events created are mutually exclusive and collectively exhaustive.

Students had three choices for responding to a survey about study habits: a.) I do not study. B.) I study one to three hours each night, and c.) I study more than three hours each night.

a.)The events are only mutually exclusive

b.)The events are only collectively exhaustive

c.)The events are neither mutually exclusive nor collectively exhaustive

d.) The events are both mutually exclusive and collectively exhaustive.

Solution

a.)The events are only mutually exclusive

As the cases do not intersect, but also they are not exhaustive as they do not include 0 to 1 hour