Use the data in the table below, which shows the employment status of individual

Question

Use the data in the table below, which shows the employment status of individuals in a particular town by age group. Please note it has not been totaled. Click on the assignment and type, then click on write submission and type your answers there. Please do not write your answers in the comments section. All answers should be given as fractions in lowest form.

Age Group                      Full-time            Part-time                    Unemployed

      0-17                               24                       164                               371

    18-25                             185                      203                               148

    26-34                             348                         67                                 27

    35-49                             581                       179                               104

      50+                              443                       162                               173

1. If a person in this town is selected at random, find the probability that the individual is employed part-time, given that he or she is between the ages of 35 and 49?

2. If a person in the town is randomly selected, what is the probability that the individual is unemployed, given that he or she is over 50 years old?

3. A person from the town is randomly selected; what is the probability that the individual is employed full-time, given that he or she is between 18 and 49 years of age?

4. A person from the town is randomly selected; what is the probability that the individual is employed part-time, given that he or she is at least 35 years old?

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Explanation / Answer

1) P(Employed part time | 35 - 49) = 179/(581 + 179 + 104) = 0.2072

2) P(Unemployed | 50+) = 173/(443+162+173) = 0.2224

3) P(Employed full time | 18-49) = (185+348+581)/(185+203+148+348+67+27+581+179+104) = 0.6048

4) P(Part time | 35+) = (179+162)/(581+179+104+443+162+173) = 0.2077

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