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 about 53 minutes. Assume that the arrival times follow a normal distribution.

(a) At what time after the doors open will 94% 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 only 14% 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