The NHL championship is determined by a best of seven series; that is, the first team to win 4 games is the winner. If two teams are evenly matched, what is the probability the series will last only 4 games? Design a simulation, run it at least 30 times, and show the results in a chart similar to the one that follows. When running this simulation you are concerned with how many games are needed so one of the teams will win 4 games, not with who won or lost. Number of Games Played 4 5 6 7 Tally Total Number a) Based on your simulation, estimate the probability that the series will last only 4 games. b) Draw a sketch of the histogram of the data from your simulation and describe the shape of the distribution. Estimate a range for the average number of games that must be played to complete the series. c) Find the mean length of a series and display the mean on the histogram. d) Find the median length of a series and display the median on the histogram. How do the mean and the median compare?