[See Solution] For unemployed person in the US, the average number of months of unemployment at the end of Dec 2009 was approximated seven months. Suppose
Question: For unemployed person in the US, the average number of months of unemployment at the end of Dec 2009 was approximated seven months. Suppose the following data are for a particular region in upstate New York.
| Months Unemployed | Number Unemployed |
| 1 | 1029 |
| 2 | 1686 |
| 3 | 2269 |
| 4 | 2675 |
| 5 | 3487 |
| 6 | 4652 |
| 7 | 4145 |
| 8 | 3587 |
| 9 | 2325 |
| 10 | 1120 |
Let x be a random variable indicating the number of months a person is unemployed
- Use the data to develop a probability distribution for x ( You must calculate the relative frequency and use it as probability)
- What is the probability that a person is unemployed for two months or less? Unemployed for more than two months
- What is the probability that a person is unemployed for more than six months
- What is the average (expect value) number of months of unemployment? What is the variance?
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