use the data in the table below, which shows the employment status of individuals in a particular town by age group.
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
7. 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.
8. 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?
9. 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?
10. 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?
Answers
Answer:
above is the right answer .......
Given: Employment status of individuals in a town by age group.
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
To find: 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?
Solution: 1- Probability that the individual is employed part-time, given that he or she is between the ages of 35 and 49.
Total number of people who are between the age group 35-49
= 581+179+104
= 864
Number of people who are employed part time= 179
Therefore, probability
= Number of people employed part time in age group 35-49/ Total people in age group 35-49
= 179/864
Therefore, the probability that the individual is employed part-time, given that he or she is between the ages of 35 and 49 is 179/864.
2- Probability that the individual is unemployed given that he or she is over 50 years
Total number of people who are above 50
= 443+162+173
= 778
Number of people who are unemployed= 173
Therefore, probability
= Number of people unemployed above 50/ Total people above 50
= 173/778
Therefore, probability that the individual is unemployed given that he or she is over 50 years is 173/778.
3- Probability that the individual is employed full-time, given that he or she is between the ages of 18 and 49.
Total number of people who are between the age group 18-49
= People between 18-25 + People between 26-34 + People between 35-49
= 185+203+148+348+67+27+581+179+104
= 1842
Number of people who are employed full time between age 18-49
= 185+348+581
= 1114
Therefore, probability
= Number of people employed full time in age group 18-49/ Total people in age group 18-49
= 1114/1842
= 557/921
Therefore, probability that the individual is employed full-time, given that he or she is between the ages of 18 and 49 is 557/921.
4- Probability that the individual is employed part-time, given that he or she is at least 35 years old
Total number of people who are at least 35 years old
= People between 0-17 + People between 18-25 + People between 26-34
= 24+164+371+185+203+148+348+67+27
= 1537
Number of people who are employed part time below 35 years
= 164+203+67
= 434
Therefore, probability
= Number of people employed part-time below 35 years / Total people below 35 years of age
= 434/1537
Therefore, probability that the individual is employed part-time, given that he or she is at least 35 years old is 434/1537.