Problem 8BSC

Determining Whether Events Are Disjoint. For Exercise, determine whether the two events are disjoint for a single trial. (Hint: Consider “disjoint” to be equivalent to “separate” or “not overlapping.”)

Randomly selecting a statistics student and getting one who uses a TI calculator in class.

Randomly selecting a statistics student and getting one who uses the STATDISK computer program.

Solution 8BSC

Any statistics student can use either TI calculator or STATDISK computer program for any purpose. They may use both at any time. So there will be chances of finding students who can use both programs at a time.

So events ‘Randomly selecting a statistics student and getting one who uses a TI calculator in class’ and ‘Randomly selecting a statistics student and getting one who uses the STATDISK computer program in class.’ can occur simultaneously.

Hence events are not disjoint.