Question: 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.

When do creative people get theirbestideas?USA Todaydid a survey of 966 inventors (who hold U.S. patents) and obtained the following information.

Time of Day When Best Ideas OccurTimeNumber of Inventors6 A.M.-12 noon

12 noon-6 P.M.

6 P.M.-12 midnight

12 midnight-6 A.M.299

127

329

211

(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. (Enter your answers to 3 decimal places.)6AM-12PM12PM-6PM6PM-12AM12AM-6AM

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

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

0 Yes, because they cover the entire sample space. ?

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

0 No, because they cover the entire sample space.?

What is the sample space in this problem?

0 12AM-12PM ?

0 6AM-6PM ?

0 6AM-12AM ?

0 the entire day ?

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