Question

*Please show your work. I do not understand how to do it* The two-way table below...

*Please show your work. I do not understand how to do it*

The two-way table below summarizes how students performed in several sections of MAT 152 on the Unit 2 Test in previous semesters. The row labels are letter grades. The column labels describe whether or not a student completed all chapter quizzes for the unit (first column), or missed at least one quiz for the unit (second column).

Completed all quizzes

Missed at least one quiz

Total

A

19

9

28

B

25

5

30

C

7

10

17

D

10

11

21

F

15

22

37

Total

76

57

133
  1. Given that a student missed at least one quiz, what is the probability that student earned an A on the Unit 2 test?

  1. Given that a student completed all quizzes, what is the probability that student earned an F on the Unit 2 test?

  1. A student is chosen at random from these sections. What is the probability that the chosen student earned a B on the Unit 2 test and also missed at least one quiz?

  1. If two students are randomly selected without replacement, what is the probability that both earned a C?

  1. Are the events “Earned an F on the test” and “Missed at least one quiz” independent or dependent? You must justify your answer mathematically.

  1. Are the events “Earned an A on the test” and “Missed at least one quiz” mutually exclusive? Justify your answer using the table.

  1. A student is chosen at random from these sections. What is the probability that the chosen student either earned an F or missed at least one quiz?
Math   Statistics-And-Probability   
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