University of Michigan researchers B. Wilkinson, N.

Diedrich and E. Rothman, and C. Drummond of Indiana-Purdue University in Fort Wayne studied the duration between goals scored by the University of Michigan hockey team during its 40-game, 1996 national championship season. They found that the time-between-scores could be characterized with an exponential distribution with a mean of 10.54 minutes

(Geological Society of America Bulletin, August 1998).

a. Find the value of A for this exponential distribution.

h. Find the mean and standard deviation for this distribution and interpret each in the context of the problem.

c. Graph this exponential distribution. Locate the mean on the graph.

d. If Michigan scores with exactly two minutes left in the game, what is the probability they will score again before time runs out?