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Runner's world reports that the times of the finishers

28/04/2021 Client: muhammad11 Deadline: 2 Day

As reported in Runner’s World magazine, the times of the finishers in the New York City 10-km run are normally distributed with mean 61 minutes and standard deviation 9 minutes. Let x denote finishing time for finishers in this race.
a. Sketch the distribution of the variable x.
b. Obtain the standardized version, z, of x.
c. Identify and sketch the distribution
of z.
d. The percentage of finishers with times between 50 and 70 minutes is equal to the area under the standard normal curve between _______ and______.
e. The percentage of finishers with times less than 75 minutes is equal to the area under the standard normal curve that lies to the of______.

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