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A student is chosen at random from these sections. What is the probability that the chosen student earned a D on the Unit 2 test?

INSTRUCTIONS TO CANDIDATES
ANSWER ALL QUESTIONS

Probability Assignment

Instructions

·        Complete this assignment using Excel for any calculations.

·        When you are finished, compare your answers with your groupmates.

·        Decide on one member to submit a completed version in Blackboard. Feel free to just type your answers in this document, save it, and submit it.

·        If you give your final answer as decimals, round to four decimals.

  Problems

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

20

6

26

B

15

7

22

C

15

9

24

D

11

10

21

F

1

20

21

Total

62

52

114

 

 Note to students: I’m showing you this data to encourage you to plan and prepare well. I’ve had many students tell me that they found the Unit 2 Test to be the most difficult, for them. Don’t feel overwhelmed when you see this information. Instead, make a plan now to spread out your studying, work a little every day, and ask questions along the way! The students who pass the Unit 2 Test, pass because they plan, prepare, and ask questions.

1.     A student is chosen at random from these sections. What is the probability that the chosen student earned a D on the Unit 2 test?

 

2.     What is the probability that a randomly chosen student completed all quizzes for Unit 2?

1.     What is the probability that a randomly selected student earned a C or better on the Unit 2 test? 

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

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

4.     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? 

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

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

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

8.     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?

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