A sample of 350 students was selected and each was asked the make of their autom

Question

A sample of 350 students was selected and each was asked the make of their automobile (foreign or domestic) and their year in college (freshman, sophomore, junior, or senior). The results are shown in the table below. Year in College Total 205 145 350 Freshman SophomoreJunior Senior 25 Foreign Domestic Total 15 10 2580 65 45 110 100 Car 10 180 35 3 Which of the following events listed would be considered events? mutually exclusive The student is a junior and the student drives a domestic automobile The student is a freshman and the student drives a foreign automobile The student is a senior and the student drives a domestic automobile. The student is a junior and the student is a freshman

Explanation / Answer

Solution:-

The student is a junior and the student is a freashman.

When two events are Mutually Exclusive it is impossible for them to happen together:

P(A and B) = 0

In this case it is impossible for a student to be freshman and junior at the same time.

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