Academic Integrity: tutoring, explanations, and feedback — we don’t complete graded work or submit on a student’s behalf.

The history of 100 workers who lost their employment due to technological advanc

ID: 3072975 • Letter: T

Question

The history of 100 workers who lost their employment due to technological advances is reviewed an alternative job in the same company, found a job with another company in the same field, found a job in a new field, or has been unemployed for 1 year. In addition the union status of each worker is recorded. Complete (a) and Union Nonunion . Each worker was given Same Company New Company New Field Unemployed 42 13 2 2 18 10 4 (a) If the selected worker found a job with a new company in the same field, what is the probability that the worker is a union member? (Round to three decimal places as needed.) (b) If the worker is a union member, what is the probability that the worker has been unemployed for a year? (Round to three decimal places as needed.)

Explanation / Answer

a) P(Union member | Same field)

= 13 / (13 + 9)

= 13/22

= 0.591

b) P(Unemployed | Union member)

= 2 / (42 + 13 + 2 + 2)

= 2 / 59

= 0.034