# quiz2BS-M_f10 - Econ 506 Section M Quiz 2B Sept 30 2010...

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Econ 506, Section M NAME:_ SOLUTION_ _____ Quiz 2B, Sept. 30, 2010 Total points: 50 I. ( 6 points) On average six persons enter the intensive care unit at a hospital on any single day. What is the probability that the number of people entering the intensive care unit on a particular day is equal to 2? Use the Poisson distribution with λ = 6. p (2) = .044 II. ( 8 points) if 20 percent of the balls in a certain box are red, and if 15 balls are selected from the box at random, with replacement, what is the probability that at least one red balls will be obtained? Assume Y = # of red balls obtained in 15 selection. Then Y has Binomial distribution with p = .20, n = 15. 964816 . 0 035184 . 0 1 ) 1 ( 0 15 1 ) 0 ( 1 ) 1 ( 0 15 0 = - = - - = = - = - p p Y P Y P III. ( 8 points) an experiment consists of tossing a fair die until a 6 occurs three times. What is the probability that the process ends after exactly ten tosses with a 6 occurring on the ninth and tenth tosses? let

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## This note was uploaded on 04/13/2011 for the course ECON 506 taught by Professor Staff during the Fall '08 term at University of Illinois, Urbana Champaign.

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quiz2BS-M_f10 - Econ 506 Section M Quiz 2B Sept 30 2010...

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