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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?
Confirm whether given random variable is binomial distribution or not. If this experiment is finished with replacement, explain why.
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