Answer: Museum management. Refer to the Museum Management

Chapter 4, Problem 75E

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QUESTION:

Problem 75E

Museum management. Refer to the Museum Management and Curatorship (June 2010) study of the criteria used to evaluate museum performance, Exercise 3.16 (p. 141). Recall that the managers of 30 leading museums of contemporary art were asked to provide the performance measure used most often. Of these 30 museums, 8 specified “total visitors” as the performance measure. Consider a random sample of 5 museums selected from the 30. How likely is it that none of the museums in the sample specified “total visitors” as the performance measure?

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QUESTION:

Problem 75E

Museum management. Refer to the Museum Management and Curatorship (June 2010) study of the criteria used to evaluate museum performance, Exercise 3.16 (p. 141). Recall that the managers of 30 leading museums of contemporary art were asked to provide the performance measure used most often. Of these 30 museums, 8 specified “total visitors” as the performance measure. Consider a random sample of 5 museums selected from the 30. How likely is it that none of the museums in the sample specified “total visitors” as the performance measure?

ANSWER:

Solution:

Step 1 of 1:

      Let us consider the random sample of 5 museums selected from the 30.

   Let x = number of times “total visitors” is selected in 5 museums. For this exercise, x has a hypergeometric distribution with N = 30, n = 5, r = 8 and x = 0.

           Here

           The pmf of hypergeometric distribution is

                         

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