Example 2
Voting for the student representative on a school’s Board of Trustees has closed but the votes have not been counted. Simon Pegg (a candidate) thinks about how many votes he thinks he will get. He thinks the most likely value is around 550, but he could get as many as 900 or as few as 200. Simon models the number of votes he may have received as a triangular distribution with minimum value a=200, maximum value b=900 and peak value c=550. The graph of the probability density function reaches its maximum of 0.002857 at c=550 and is shown below.