As reported in "Runner's World" magazine, the times of thefinishers in the New York City 10 km run are normally distributedwith 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 standarddeviation____ .
b) The distribution of the standardized variable z has mean____and standard deviation____ .
c) The percentage of finishers with times between 60 and 80minutes is equal to the area under the standard normal curvebetween____ and____ .
d) The percentage of finishers with times exceeding 86 minutesis equal to the area under the standard normal curve that lies tothe____ of____ .