· 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.
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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