(Devore: Section 2.1 #5) A family consisting of three persons A, B and C goes to medical clinic that always has a doctor at each of section 1, 2, and 3. During a certain week, each member of the family visits the clinic once and is assigned at random to a station. The experiment consists of recording the station number of each member. Once outcome is (1,2,1) for A to station 1, B to station 2, and C to station 1. (a) List the 27 outcomes in the sample space. (b) List all outcomes in the event that all three members go to the same station. (c) List all outcomes in the event that all members go to different stations.

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(Devore Section 2.1 #5) A family consisting of three persons A, B and C goes to medical clinic
that always has a doctor at each of section 1, 2, and 3. During a certain week, each member of
the family visits the clinic once and is assigned at random to a station. The experiment consists
of recording the station number of each member. Once outcome is (1,2,1) for A to station 1, B to
station 2, and C to station 1.
(a) List the 27 outcomes in the sample space.
(b) List all outcomes in the event that all three members go to the same station.
(c) List all outcomes in the event that all members go to different stations.
(d) List all outcomes in the event that no one goes to station 2.
Transcribed Image Text:(Devore Section 2.1 #5) A family consisting of three persons A, B and C goes to medical clinic that always has a doctor at each of section 1, 2, and 3. During a certain week, each member of the family visits the clinic once and is assigned at random to a station. The experiment consists of recording the station number of each member. Once outcome is (1,2,1) for A to station 1, B to station 2, and C to station 1. (a) List the 27 outcomes in the sample space. (b) List all outcomes in the event that all three members go to the same station. (c) List all outcomes in the event that all members go to different stations. (d) List all outcomes in the event that no one goes to station 2.
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