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 60 and 80 minutes is equal to the area under the standard normal curve between____ and____ .
d) The percentage of finishers with times exceeding 86 minutes is equal to the area under the standard normal curve that lies to the____ of____ .