The length of time it takes to be seated at a local restaurant on Friday night is normally distributed with a mean of 15 minutes and a standard deviation of 4.75 minutes.

(a) (10 points) What is the probability that you have to wait between 13 and 16 minutes to be seated?

(b) (5 points) Without doing any calculations, in which of the following ranges your wait time is most likely to be: 9-12, 13-16 or 17-20? Why?

(c) (5 points) Without doing any calculations, in which of the following ranges your wait time is least likely to be: 9-12, 13-16 or 17-20? Why?