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City of Denton regularly releases data for the number of persons unemployed for a given number of months. The values in the first column show

City of Denton regularly releases data for the number of persons unemployed for a given number of months. The values in the first column show the number of months unemployed and the values in the second column show the corresponding number of unemployed persons.

Months Unemployed

Number of People Unemployed

1

16746

2

14600

3

11642

4

10420

5

8490

6

8420

7

7890

8

8674

9

6400

10

6718

In total, we have 100,000 unemployed people in the dataset. We define x as a discrete random variable indicating the number of months a randomly select person will be unemployed. For instance, in our dataset, there are 16,746 people who are unemloyed for 1 month (x=1). We can calculate the probability of discrete event x=1 by dividing the number of unemployed people for 1 month by 100,000. Hence, f(1) = 16,746/100,000= 0.16746. Go ahead and calculate the empirical discrete probability distribution of x. (i.e., calculate f(1), f(2),..., f(10)).

What is the probability that a person is unemployed for two months or less?

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