105 NHL overtime games. In the National Hockey League (NHL), games that are tied at the end...
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105 NHL overtime games. In the National Hockey League
(NHL), games that are tied at the end of three periods are sent into “sudden-death” overtime. In overtime, the team to score the first goal wins. An analysis of NHL overtime games showed that the length of time elapsed before the winning goal is scored has an exponential distribution with mean 9.15 minutes ( Chance , Winter 1995).
a. For a randomly selected overtime NHL game, find the probability that the winning goal is scored in 3 minutes or less.
b. In the NHL, each period (including overtime) lasts 20 minutes. If neither team scores a goal in overtime, the game is considered a tie. What is the probability of an NHL game ending in a tie?
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