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 12 noon-6 P.M. 6 P.M.-12 midnight 12 midnight-6 A.M. 295 131 327 213 (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-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-12PM6AM-6PM    6AM-12AMthe entire day

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Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.