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Among U.S. cities with a population of more than 250,000 the mean one-way commute time to work is 24.3 minutes. The longest one-way travel time is in New York City, where the mean time is 38.8 minutes. Assume the distribution of travel times in New York City follows the normal probability distribution and the standard deviation is 7.7 minutes.
a.
What percent of the New York City commutes are for less than 27 minutes? (Round the intermediate values to 2 decimal places. Round your answer to 2 decimal places.)
Percent
%
b.
What percent are between 27 and 35 minutes? (Round the intermediate values to 2 decimal places. Round your answer to 2 decimal places.)
Percent
%
c.
What percent are between 27 and 43 minutes? (Round the intermediate values to 2 decimal places. Round your answer to 2 decimal places.)
Percent
%
A study of long-distance phone calls made from General Electric Corporate Headquarters in Fairfield, Connecticut, revealed the length of the calls, in minutes, follows the normal probability distribution. The mean length of time per call was 3.70 minutes and the standard deviation was 0.60 minutes.
a.
What fraction of the calls last between 3.70 and 4.50 minutes? (Round z-score computation to 2 decimal places and your final answer to 4 decimal places.)
Fraction of calls
b.
What fraction of the calls last more than 4.50 minutes? (Round z-score computation to 2 decimal places and your final answer to 4 decimal places.)
Fraction of calls
c.
What fraction of the calls last between 4.50 and 5.50 minutes? (Round z-score computation to 2 decimal places and your final answer to 4 decimal places.)
Fraction of calls
d.
What fraction of the calls last between 3.00 and 5.50 minutes? (Round z-score computation to 2 decimal places and your final answer to 4 decimal places.)
Fraction of calls
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