In: Math
As reported in "Runner's World" magazine, the times of the finishers in the New York City 10 km run are normally distributed with a mean of 61 minutes and a standard deviation of 9 minutes. Let x denote finishing time for the finishers. a) The distribution of the variable x has mean ___ and standard deviation ___ b) The distribution of the standardized variable z has mean ___ and standard deviation ___ c) The percentage of finishers with times between 35 and 75 minutes is equal to the area under the standard normal curve between ___ and ___ d) The percentage of finishers with times exceeding 88 minutes is equal to the area under the standard normal curve that lies to the ___ of ___