MATH 221 Week 2 Discussion | Devry University
- Devry University / MATH 221
- 20 Jan 2022
- Price: $6
- Mathematics Assignment Help / statistics
MATH 221 Week 2 Discussion | Devry University
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. 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. 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. 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. 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. 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. 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. Find an example of a
probability distribution in the news. Why was this presented? What
decisions might it impact?
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: 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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