Question
What are the expected value, variance and standard deviation of the following probability distribution? Number of...
What are the expected value, variance and standard deviation of the following probability distribution?
| Number of Offices | Proportion of Students p(X) |
| 0 | 0.12 |
| 1 | 0.18 |
| 2 | 0.26 |
| 3 | 0.24 |
| 4 | 0.13 |
| 5 | 0.07 |
| E(X) | |
| Var(X) |
Homework Answers
Answer #1
| Number of Offices (X) | P(X) | X * P(X) | X2 * P(X) of |
|---|---|---|---|
| 0 | 0.12 | 0 | 0 |
| 1 | 0.18 | 0.18 | 0.18 |
| 2 | 0.26 | 0.52 | 1.04 |
| 3 | 0.24 | 0.72 | 2.16 |
| 4 | 0.13 | 0.52 | 2.08 |
| 5 | 0.07 | 0.35 | 1.75 |
 |
 |
Therefore, the expected value of X is,
Variance of X is,
Standard deviation of X is,
Hence, we get,
=> E(X) = 2.29
=> Var(X) = 1.9659
=> SD(X) = 1.4021
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