Refer to the Journal of Allied Health (Fall 2011) study of why emergency medical service (EMS) workers leave the profession, Exercise 3.41. Recall that in a sample of 244 former EMS workers, 127 were fully compensated while on the job, 45 were partially compensated, and 72 had non compensated volunteer positions. Also, the numbers of EMS workers who left because of retirement were 7 for fully compensated workers, 11 for partially compensated workers, and 10 for non compensated volunteers.
a. Given that the former EMS worker was fully compensated while on the job, estimate the probability that the worker left the EMS profession due to retirement.
b. Given that the former EMS worker had a non compensated volunteer position, estimate the probability that the worker left the EMS profession due to retirement.
c. Are the events {a former EMS worker was fully compensated on the job} and {a former EMS worker left the job due to retirement} independent? Explain.
Exercise 3.41
An investigation into why emergency medical service (EMS) workers leave the profession was published in the Journal of Allied Health (Fall 2011). The researchers surveyed a sample of 244 former EMS workers, of which 127 were fully compensated while on the job, 45 were partially compensated, and 72 had non compensated volunteer positions. The numbers of EMS workers who left because of retirement were 7 for fully compensated workers, 11 for partially compensated workers, and 10 for non compensated volunteers. One of the 244 former EMS workers is selected at random.