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

Time Number of Inventors

6 A.M.-12 noon 278

12 noon-6 P.M. 133

6 P.M.-12 midnight 323

12 midnight-6 A.M. 232

(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.

6AM-12PM __________

12PM-6PM __________

6PM-12AM __________

12AM-6AM __________

(b) Do the probabilities add up to 1? Why should they?

____ No, because they do not cover the entire sample space.

____ Yes, because they cover the entire sample space.

____ Yes, because they do not cover the entire sample space.

____ No, because they cover the entire sample space.

What is the sample space in this problem?

____ 12AM-12PM

____ 6AM-6PM

____ 6AM-12AM

____ the entire day

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