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:
Time of Day When Best Ideas Occur

(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 6 AM.-12 noon 12 noon-6 P.M 6 PM.-12 midnight 12 midnight-6 AM. Number of Inventors 290 135 319