A junior high principal runs a report to determine what ratio of all 100 students take the bus to school or are dropped off by parents, based on grade (seventh grade or eight grade). The results are shown in the following probability distribution table.

Grade vs.

Transportation Takes

Bus Parents

Drop off Total

Seventh Grader 0.44 0.12 0.56

Eighth Grader 0.11 0.33 0.44

Total 0.55 0.45 1

What is the probability that a student is in seventh grade, given that he/she is dropped off by parents?

0.27

0.38

0.22

0.73

Question

Wyatt Mack

Mathematics

5 May, 02:34

A junior high principal runs a report to determine what ratio of all 100 students take the bus to school or are dropped off by parents, based on grade (seventh grade or eight grade). The results are shown in the following probability distribution table.

Grade vs.

Transportation Takes

Bus Parents

Drop off Total

Seventh Grader 0.44 0.12 0.56

Eighth Grader 0.11 0.33 0.44

Total 0.55 0.45 1

What is the probability that a student is in seventh grade, given that he/she is dropped off by parents?

0.27

0.38

0.22

0.73

+3

Answers (1)

Know the Answer?

Yadira Moses · Answer 1

The probability that a student is in seventh grade, given that he/she is dropped off by parents is option C) 0.22

Step-by-step explanation:

The total probability of students in 7th grade = 0.56 The probability of 7th grade students dropped by parents = 0.12

P (student is in 7th grade student is in seventh grade) = P (students in 7th grade) / P (7th grade students dropped by parents).

⇒ 0.12/0.56

⇒ 0.22