Study of why EMS workers leave the job. An investigation

Chapter 3, Problem 41E

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QUESTION:

Problem 41E

Study of why EMS workers leave the job. 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 noncompensated 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 noncompensated volunteers. One of the 244 former EMS workers is selected at random.

a. Find the probability that the former EMS worker was fully compensated while on the job.

b. Find the probability that the former EMS worker was fully compensated while on the job and left due to retirement.

c. Find the probability that the former EMS worker was not fully compensated while on the job.

d. Find the probability that the former EMS worker was either fully compensated while on the job or left due to retirement.

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QUESTION:

Problem 41E

Study of why EMS workers leave the job. 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 noncompensated 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 noncompensated volunteers. One of the 244 former EMS workers is selected at random.

a. Find the probability that the former EMS worker was fully compensated while on the job.

b. Find the probability that the former EMS worker was fully compensated while on the job and left due to retirement.

c. Find the probability that the former EMS worker was not fully compensated while on the job.

d. Find the probability that the former EMS worker was either fully compensated while on the job or left due to retirement.

ANSWER:

Solution:

Step 1 of 5:

An investigation into why EMS workers leave the profession was published in the journal of Allied Health.

The researcher surveyed 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.

The number of EMS workers who left because of retirement were 7 of fully compensated workers, 11 for partially compensated workers, and 10 for non compensated volunteer.

Let,

F: {Fully compensated},

P:{Partially compensated},

N:{Non-compensated}, and

R:{Left because of retirement}.

Then, P(F) = ,

         P(N) = , and  

         P(R) = ,

                 =


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