Create a contingency table with two variables. Then pose two conditional probability questions for others to solve.
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1. Contingencies
1. Create a contingency table with two variables. Then pose two conditional probability questions for others to solve. Here is an example (do not use this one). Other students can reply with details on how to find the conditional probabilities.
Red
Green
Blue
TOTAL
Large
10
2
18
30
Medium
12
16
4
32
Small
8
10
6
24
TOTAL
30
28
28
86
What is the P(blue|medium)?
What is the P(small|green)?
2. Frequency Distribution 1
2. Use the following frequency distribution to determine the P(x<2) and P’(x<2). Please note that these are complements of each other. Describe your thought process and/or show work!
Number of cars
Frequency
0
128
1
243
2
286
3
151
4
84
5+
32
3. Real-Life Probability Example
3. Give an example of a probability distribution in your home life or in your career. Is this used directly or indirectly, such as what protein to make for dinner? Provide the example and an estimate of the probability distribution.
4. One Event… Impacts Another?
4. How might the occurrence of one event in your life or career impact the probabilities of another event? Are these events independent or dependent? Why?
5. Probability for Quality Control
5. Thinking of a manufacturing company, how might probability be a part of their quality control? Which companies might consider more outcomes as “unusual” based on the sensitivity of what they produce? Why?
6. Frequency Distribution 2
6. Use the following frequency distribution to determine the P(1 < x < 4) and P(1 ≤ x ≤ 4). Describe your thought process and/or show work!
Number of cars
Frequency
0
128
1
243
2
286
3
151
4
84
5+
32
7. Frequency Distribution 3
7. Use the following frequency distribution to determine the P(x < 0) and P(x ≥ 3). Describe your thought process and/or show work!
Number of cars
Frequency
0
128
1
243
2
286
3
151
4
84
5+
32
8. Probability Distribution in the News
8. Find an example of a probability distribution in the news. Why was this presented? What decisions might it impact?
9. Ethics! (Misinterpretation?)
9. Ethics: Find an example of a probability in the news that might be misinterpreted by the reader. How might it have been presented more directly, or in a way that would lead to less misinterpretation?
10. Ethics! (Reasonable?)
10. Ethics: Find an example of a conditional probability in the news. Was the occurrence of the first event reasonable? Why or why not?
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