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 61 b) The distribution of the standardized variable z has mean 0 1 and standard deviation 9 and standard deviation c) The percentage of finishers with times between 45 and 65 minutes is equal to the area under the standard normal curve between -1.778 and 2.67 d) The percentage of finishers with times exceeding 79 minutes is equal to the area under the standard normal curve that lies to the right of 2

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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 61
b) The distribution of the standardized variable z has mean 0
1
and standard deviation 9
and standard deviation
c) The percentage of finishers with times between 45 and 65 minutes is equal to the area under the standard normal curve between
-1.778
and 2.67
d) The percentage of finishers with times exceeding 79 minutes is equal to the area under the standard normal curve that lies to the
right
of 2
Transcribed Image Text: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 61 b) The distribution of the standardized variable z has mean 0 1 and standard deviation 9 and standard deviation c) The percentage of finishers with times between 45 and 65 minutes is equal to the area under the standard normal curve between -1.778 and 2.67 d) The percentage of finishers with times exceeding 79 minutes is equal to the area under the standard normal curve that lies to the right of 2
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