There are three nursing positions to be filled at Lilly Hospital. Position 1 is the day nursing supervisor; position 2 is the night nursing supervisor; and position 3 is the nursing coordinator position. There are 13 candidates qualified for all three of the positions. Determine the number of different ways the positions can be filled by these applicants. The qualified applicant pool for five management trainee positions consists of six women and six men. (a) How many different groups of applicants can be selected for the positions? (b) How many different groups of trainees would consist entirely of women? (c) Probability extension: If the applicants are equally qualified and the trainee positions are selected by drawing the names at random so that all groups of five are equally likely, what is the probability that the trainee class will consist entirely of women? (Round your answer to four decimal places.)
There are three nursing positions to be filled at Lilly Hospital. Position 1 is the day nursing supervisor; position 2 is the night nursing supervisor; and position 3 is the nursing coordinator position. There are 13 candidates qualified for all three of the positions. Determine the number of different ways the positions can be filled by these applicants. The qualified applicant pool for five management trainee positions consists of six women and six men. (a) How many different groups of applicants can be selected for the positions? (b) How many different groups of trainees would consist entirely of women? (c) Probability extension: If the applicants are equally qualified and the trainee positions are selected by drawing the names at random so that all groups of five are equally likely, what is the probability that the trainee class will consist entirely of women? (Round your answer to four decimal places.)
Chapter8: Sequences, Series,and Probability
Section: Chapter Questions
Problem 40CT: There are 10 applicants for three sales positions at a department store. All of the applicants are...
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Transcribed Image Text:There are three nursing positions to be filled at Lilly Hospital. Position 1 is the day nursing supervisor; position 2 is the night nursing supervisor; and position 3 is the nursing coordinator position. There are 13 candidates qualified for all three of the
positions. Determine the number of different ways the positions can be filled by these applicants.
Transcribed Image Text:The qualified applicant pool for five management trainee positions consists of six women and six men.
(a) How many different groups of applicants can be selected for the positions?
(b) How many different groups of trainees would consist entirely of women?
(c) Probability extension: If the applicants are equally qualified and the trainee positions are selected by drawing the names at random so that all groups of five are equally likely, what is the probability that the trainee class will consist entirely
of women? (Round your answer to four decimal places.)
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