4. Suppose the following data represent the number of persons unemployed for a number of months in Killeen, Texas. The values in the first column show the nu of months unemployed and the values in the second column show the correspor number of unemployed persons. Months Unemployed 1 Number Unemployed 1,029
4. Suppose the following data represent the number of persons unemployed for a number of months in Killeen, Texas. The values in the first column show the nu of months unemployed and the values in the second column show the correspor number of unemployed persons. Months Unemployed 1 Number Unemployed 1,029
A First Course in Probability (10th Edition)
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Publisher:Sheldon Ross
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
Transcribed Image Text:14. Suppose the following data represent the number of persons unemployed for a given
number of months in Killeen, Texas. 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
1
2
3
4
5
6
7
8
9
10
Number Unemployed
1,029
1,686
2,269
2,675
3,487
4,652
4,145
3,587
2,325
1,120
Let x be a random variable indicating the number of months a randomly selected per-
son is unemployed.
a. Use the data to develop an empirical discrete probability distribution for x.
b. Show that your probability distribution satisfies the conditions for a valid discrete
probability distribution.
c. What is the probability that a person is unemployed for two months or less? Unem-
ployed for more than two months?
d. What is the probability that a person is unemployed for more than six months?
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