Question
You are given the following Discrete Probability Distribution p(x) Row x P(x) 1 1 0.1 2...
You are given the following Discrete Probability Distribution p(x)
|
Row |
x |
P(x) |
|
1 |
1 |
0.1 |
|
2 |
2 |
0.156 |
|
3 |
3 |
0.147 |
|
4 |
4 |
0.2 |
|
5 |
5 |
0.222 |
|
6 |
6 |
0.056 |
|
7 |
7 |
0.02 |
|
8 |
8 |
0.099 |
|
1 |
Provide the following:
- Mean (Expected value)
- Variance
- Standard Deviation
- Graph (Histogram) of the Probability Distribution
Homework Answers
Answer #1
Here we have data:
| Row | X | P(x) | X * P(x) | (X - mean)^2 | (X - mean)^2 * P(x) |
| 1 | 1 | 0.1 | 0.1 | 9.1870 | 0.9187 |
| 2 | 2 | 0.156 | 0.312 | 4.1250 | 1.2870 |
| 3 | 3 | 0.147 | 0.441 | 1.0630 | 0.4688 |
| 4 | 4 | 0.2 | 0.8 | 0.0010 | 0.0008 |
| 5 | 5 | 0.222 | 1.11 | 0.9390 | 1.0422 |
| 6 | 6 | 0.056 | 0.336 | 3.8770 | 1.3027 |
| 7 | 7 | 0.02 | 0.14 | 8.8150 | 1.2341 |
| 8 | 8 | 0.099 | 0.792 | 15.7530 | 12.4763 |
d)
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