A group of 165 doctors and nurses volunteered to run a health fair. Each volunteer worked one shift. The table below summarizes the data on the volunteers and their shifts. Morning Afternoon Evening Doctor 17 39 24 Nurse 19 37 29 Suppose a volunteer from the health fair is chosen at random. Answer each part. Do not round intermediate computations, and round your answers to the nearest hundredth. (If necessary, consult a list of formulas.) (a) What is the probability that the volunteer is a doctor, given that the volunteer worked the morning shift? (b) What is the probability that the volunteer is a nurse or worked the afternoon shift?

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A group of 165 doctors and nurses volunteered to run a health fair. Each
volunteer worked one shift. The table below summarizes the data on the
volunteers and their shifts.
Morning Afternoon Evening
Doctor
17
39
24
Nurse
19
37
29
Suppose a volunteer from the health fair is chosen at random.
Answer each part. Do not round intermediate computations, and round
your answers to the nearest hundredth.
(If necessary, consult a list of formulas.)
(a) What is the probability that the volunteer is a doctor, given that the volunteer worked the
morning shift?
|(b) What is the probability that the volunteer is a nurse or worked the afternoon shift?
Transcribed Image Text:A group of 165 doctors and nurses volunteered to run a health fair. Each volunteer worked one shift. The table below summarizes the data on the volunteers and their shifts. Morning Afternoon Evening Doctor 17 39 24 Nurse 19 37 29 Suppose a volunteer from the health fair is chosen at random. Answer each part. Do not round intermediate computations, and round your answers to the nearest hundredth. (If necessary, consult a list of formulas.) (a) What is the probability that the volunteer is a doctor, given that the volunteer worked the morning shift? |(b) What is the probability that the volunteer is a nurse or worked the afternoon shift?
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