Most exhibition shows open in the morning and close in the late evening. A study of Saturday arrival times showed that the average arrival time was 3 hours and 48 minutes after the doors opened, and the standard deviation was estimated at about59minutes. Assume that the arrival times follow a normal distribution.

(a) At what time after the doors open will92%of the people who are coming to the Saturday show have arrived? (Round your answer to the nearest number of minutes.)

minutes after doors open

(b) At what time after the doors open will only17%of the people who are coming to the Saturday show have arrived? (Round your answer to the nearest number of minutes.)

minutes after doors open

(c) Do you think the probability distribution of arrival times for Friday might be different from the distribution of arrival times for Saturday? Explain your answer.