IEM 5703-A mouse is trapped in a maze containing three doors
January 6th, 2018
Q1.A mouse is trapped in a maze containing three doors. The rst door leads to a tunnel that takes him to the outside after 2 hours of travel. The second door leads to a tunnel that returns him to the center of the maze after 3 hours of travel. The third door leads to a tunnel that returns him to the center of the maze after 5 hours. Assuming that the mouse is at all times equally likely to choose any one of the doors, what is the expected length of time until the mouse reaches safety?Q2. Let U be a random variable having a uniform(0,1) distribution.Define Y as follows: round 6U+ 1 down to the nearest integer. What are the possibleoutcomes of Y and their probabilities?
