When do creative people get their best ideas? A newspaper 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 293 12 noon-6 P.M. 129 6 P.M.-12 midnight 325 12 midnight-6 A.M. 219 (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. (Round your answers to three decimal places.) 6AM - 12PM 12PM - 6PM 6PM - 12AM 12AM - 6AM (b) Do the probabilities add up to 1? ○ Yes. ○ No. Does this make sense? Examining the above table we find the table ---Select--- probabilities in the table ---Select--- the probabilities for all outcomes in the sample space. Therefore, the So, the above result ---Select--- ✓ make sense. What is the sample space in this problem? 6AM - 12AM ○ 6AM - 6PM O 12AM 12PM O the entire day

When do creative people get their best ideas? A newspaper did a survey of 966 inventors (who hold U.S. patents) and obtained the following information. 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. (Round your answers to three decimal places.) b) Do the probabilities add up to 1? Does this make sense? Examining the above table we find the table BLANK the probabilities for all outcomes in the sample space. Therefore, the probabilities in the table BLANK. So, the above result BLANK make sense.