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amily consisting of four persons A, B, С and D belongs to a medical clinic that always has a doctorat each of station 1 2, and 3. D ing a ceta n week, each member or the ami, v sts in ico and is assigned at random to a station. The experiment consists of recording the station number for each member. Suppose that any incoming individual is equally likely to be assigned to any of the three stations irrespective of where other individuals have been assigned (a) What is the probability that all four family members are assigned to the same station? (b) What is the probability that at most three family members are assigned to the same station? c) What is the probability that one station has two family members at it and the others have only one?

math   Statistics-And-Probability   
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ou peSons are A,B,C,D Sation ae,2,3 Heve coe have to fird he probabilütj thd al ous Loni ly membess are assigoed to te Some Statian ober con be asSaigned to any Station So the tota no of as is 3 x 3x 3x 3 81 . No. of ωα4S tte au familyneCanbe assagred to the Same Sta bnis meobes P Call the membeS to Some Staton) 3 most No of coSo 3 fomily membes ove asSaigned to the Same Stallon is exclude all meobess assaigned to the Same he pmobabidity ha a most tree Parily mewbes ore assoi gned 81-318 Slaliàn)5 toe chcoseStaion out of 3 i- Afteschooße one Staton o cn assoign a membe s Stations is Ч. mernbenS co be asSoigned n emoini StaHon in otes have only one is The pobabiut for one Station ha family membes f Dress have only eis 36 4,

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