Mr. Cotton has to give a lecture at 3:30. From past experience, we know that Mr. Cotton will arrive from 1 minute early up to 5 minutes late and is equally likely to arrive at any of these times. He will begin the lecture 2 minutes after he arrives.
(a) What is the probability that Mr. Cotton begins the lecture after 3:35?
(b) What is the expected time that the lecture will begin?
(c) What is the standard deviation, in minutes, for the time that the lecture begins?