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 6 A.M.-12 noon 12 noon-6 P.M. 6 P.M.-12 midnight 12 midnight-6 A.M. 6AM-12PM (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.) 12PM-6PM Number of Inventors 271 148 317 230 O6AM-6PM O6AM-12AM O the entire day 6PM-12AM (b) Do the probabilities add up to 1? Why should they? O No, because they do not cover the entire sample space. O Yes, because they cover the entire sample space. O Yes, because they do not cover the entire sample space. O No, because they cover the entire sample space. What is the sample space in this problem? O 12AM-12PM 12AM-6AM

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Chapter1: Starting With Matlab
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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
6 A.M.-12 noon
12 noon-6 P.M.
6 P.M.-12 midnight
12 midnight-6 A.M.
6AM-12PM
(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.)
12PM-6PM
Number of Inventors
271
148
317
230
the entire day
6PM-12AM
(b) Do the probabilities add up to 1? Why should they?
O No, because they do not cover the entire sample space.
O Yes, because they cover the entire sample space.
O Yes, because they do not cover the entire sample space.
O No, because they cover the entire sample space.
What is the sample space in this problem?
O 12AM-12PM
6AM-6PM
O6AM-12AM
12AM-6AM
Transcribed Image Text: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 6 A.M.-12 noon 12 noon-6 P.M. 6 P.M.-12 midnight 12 midnight-6 A.M. 6AM-12PM (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.) 12PM-6PM Number of Inventors 271 148 317 230 the entire day 6PM-12AM (b) Do the probabilities add up to 1? Why should they? O No, because they do not cover the entire sample space. O Yes, because they cover the entire sample space. O Yes, because they do not cover the entire sample space. O No, because they cover the entire sample space. What is the sample space in this problem? O 12AM-12PM 6AM-6PM O6AM-12AM 12AM-6AM
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