Question

Question 7: 11 ptsGloria took a survey of high school students to see how many had part-time jobs last summer. The results of thesurvey are shown in the table. Compare the probability that a student in the senior class had a part-time job tothe probability that a student in the freshman class had a part-time job.

Answer 1

The probability that a student in the senior class had a part-time job is

`P(Part-timejob|senior)=(P(Part-time\cap senior))/(P(senior))=\frac{\frac{11}{\text{total students}}}{\frac{42}{total\text{ students}}}=(11)/(42)`

Whereas the probability that a student in the freshman class had a part-time job is

`P(Part-timejob|freshman)=(P(Part-time\cap freshman))/(P(freshman))=\frac{\frac{25}{\text{total students}}}{\frac{39}{total\text{ students}}}=(25)/(39)`

Notice that 11/42<25/39; thus, the answer is 'A senior is less likely than a freshman to have a job'