You arrive at a bus stop at 10 o'clock, knowing that the bus will arrive at some time uniformly distributed between 10:00 and 11:00.
a) What is the probability that you will have to wait longer than 10 minutes?
b) If at 10:20 the bus has not arrived, what is the probability that you will have to wait atleast an additional 10 minutes?
See attached file for full problem description.
Probabilities and Uniform Distributions are investigated. The solution is detailed and well presented.