Question

Among U.S. cities with a population of more than 250,000
the mean one-way commute |
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to work is 25 minutes. The longest one-way travel time is
New York City, where the |
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mean time is 40 minutes. Assume the distribution of travel
times in New York City |
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follows the normal probability distribution and the
standard deviation is 7.5 minutes. |
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a. What percent of the New York City commutes are for less
than 30 minutes? |
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b. What percent are between 30 and 35
minutes? |
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Answer #1

(A) given that

mean = 40

standard deviation = 7.5

we have to find P(X< 30)

using the formula

converting to percent, we get

0.0918*100 = 9.18%

(B)

given that

mean = 40

standard deviation = 7.5

we have to find P(30<X< 35)

using the formula

converting to percent, we get

0.1596*100 = 15.96%

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