Refer to the Museum Management and Curatorship (June 2010) study of the criteria used to evaluate museum performance, Exercise 2.14 (p. 50). Recall that the managers of 30 leading museums of contemporary art were asked to provide the performance measure used most often. A summary of the results is reproduced in the table.

a. If one of the 30 museums is selected at random, what is the probability that the museum uses total visitors or funds raised most often as a performance measure?
b. Consider two museums of contemporary art randomly selected from all such museums. Of interest is whether or not the museums use total visitors or funds raised most often as a performance measure. Use a tree diagram to aid in listing the sample points for this problem.
c. Assign reasonable probabilities to the sample points of part b. [Hint: Use the probability, part a, to estimate these probabilities.]
d. Refer to parts b and c. Find the probability that both museums use total visitors or funds raised most often as a performance measure.

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Performance Measure Number of Museums Total visitors Paying visitors Big shows Funds raised Members 4