Question

Themen's 100 meter sprint at the 1996 Olympic Games in Atlanta was ahotly contested event between Donovan Bailey of Canada, FrankieFredericks of Namibia, and Ato Boldon of Trinidad. Assume that theprobability distribution of the time to run the race is the samefor all three runners, and that this time obeys a (continuous)uniform distribution between 9.75 seconds and 9.95seconds. (a) What is the probability thatDonovan Bailey's time will beat the previous record of 9.86seconds? (b) What is theprobability that the winning time will beat the previous record of9.86 seconds? (c)In answering part (b) with the data you were given, you had toassume that the running times for the three athletes wereindependent of each other. Give one reason why this may not bevalid.

Answer 1