Psychology: Creativity When do creative people get their best ideas? USA Today did a survey of 966 inventors (who hold U.S. patents) and obtained the following information:

(a) Assuming that the time interval includes the left limit and all the times up to but not including the right limit, estimate the probability that an inventor has a best idea during each time interval: from 6 a.m. to 12 noon, from 12 noon to 6 p.m., from 6 p.m. to 12 midnight, from 12 midnight to 6 a.m.

(b) Do the probabilities of part

(a) add up to 1? Why should they? What is the sample space in this problem?

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Time of Day When Best Ideas Occur Time Number of Inventors 6 A.M.-12 noon 290 12 noon-6 P.M. 135 6 P.M.-12 midnight 319 12 midnight-6 A.M. 222