(1 point) 13 people arrive separately to a professional dinner. Upon arrival, ea

Question

(1 point) 13 people arrive separately to a professional dinner. Upon arrival, each person looks to see if he or she has any friends among those present. That person then either sits at the table of a friend or at an unoccupied table is none of those present is a friend. Assuming that each of the pairs of people are, independently, friends with probability 0.4, find the expected number of occupied tables. 13 (Hint: One possible approach is to define, for example, X3 to be the random variable whose value is 1 if the third person to arrive sits at an unoccupied table and 0 otherwise.) Answer: The expected number of occupied tables is 2.5

Explanation / Answer

(1 point) 13 people arrive separately to a professional dinner. Upon arrival, each person looks to see if he or she has any friends among those present. That person then either sits at the table of a friend or at an unoccupied table is none of those present is a friend. Assuming that each of the pairs of people are, independently, friends with probability 0.4, find the expected number of occupied tables. 13 (Hint: One possible approach is to define, for example, X3 to be the random variable whose value is 1 if the third person to arrive sits at an unoccupied table and 0 otherwise.) Answer: The expected number of occupied tables is 2.5

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