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

a) Use the data to develop a probability distribution for x ( You must calculate the relative frequency and use it as probability)

b) What is the probability that a person is unemployed for two months or less? Unemployed for more than two months

c) What is the probability that a person is unemployed for more than six months

d) What is the average (expect value) number of months of unemployment? What is the variance?