t ways has a doctor at each of stations 1, 2, and 3. During a certain week, each

Question

t ways has a doctor at each of stations 1, 2, and 3. During a certain week, each member of the family visits the cinic once and is assigned at random to a station. The experiment consists af recoraing the qually likely to be assigeed to any of the three stations irespective of where other individuals have been assigned. What is the probabiity that station number for each member. Suppose that any incoming individual is e i (a) All three family member rs are assigned to the same station? (Round your answer to three decimal places.) (b) At most two family members are assigned to the same station? d Round your answer to three decimall places.) (c) Every family member is assigned to a different station? (Round your aniswer to three decimal places.) Need Help? 1055 PM 9/25/2017 d ENG

Explanation / Answer

A) P(all are assigned to same station) = 3 x (1/3) x (1/3)x (1/3) = 0.111

B) P(at most 2 are assigned to same station) = 1 - P(all are assigned to same station) = 1 - 0.111 = 0.889

C) All are assigned to different stations = number of ways in which different stations can be assigned / total number of ways

= 3x2x1/3x3x3

= 2/9

= 0.222

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