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10. [40.24 Points] DETAILS BBUNDERSTAT12 4.1.019. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER When do creative people get their bestideas? USA Todaydid a survey of 966 inventors [who hold U.S. patents] and obtained the following information. Time of Day When Best Ideas Occur _ Number of Imentcrs 6 A.M.12 noon 12 noon6 PM. 6 RM.12 midnight 12 midnight6 AM. (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 AM. to 12 noon, from 12 noon to 6 PM, from 6 PM. to 12 midnight, from 12 midnight to 8 AM. [Enter your answers to 3 decimal places.) SAM12PM 12PMBPM 6PM12AM 12AM-6AM llllllll (b) Do the probabilities add up to 1'? Why should they? O 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 12AM12PM O 6AM6PM O SAM12AM O the entire day