A local health magazine conducted a study of why emergency medical service (EMS)

Question

A local health magazine conducted a study of why emergency medical service (EMS) workers leave the profession. The study showed that in a sample of 238 former EMS workers, 125 were fully compensated while on the job, 49 were partially compensated, and 64 had noncompensated volunteer positions. Also, the numbers of EMS workers who left because of retirement were 8 for fully compensated workers, 12 for partially compensated workers, and 9 for noncompensated volunteers. Complete parts a through c. 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. The probability is (Round to the nearest thousandth as needed.) b. Given that the former EMS worker had a noncompensated volunteer position, estimate the probability that the worker left the EMS profession due to retirement. The probability is (Round to the nearest thousandth as needed.) 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. A. No, because most of the retired EMS workers were fully compensated on the job. B. Yes, because most of the retired EMS workers were not fully compensated on the job. C. Yes, because being fully compensated will not affect the likelihood of leaving the job due to retirement. D. No, because being fully compensated will affect the likelihood of leaving the job due to retirement.

Explanation / Answer

A) P(retirement | fully compensated) = 8/125 = 0.064

b) P(retirement | non compensated volunteer) = 9/64 = 0.141

c) D. No, being fully compensated will affect the likelihood of living the job due to retirement

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