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Problem 2: Assume that the finishing times in a New York City 10-kilometer road race are...

Problem 2: Assume that the finishing times in a New York City 10-kilometer road race are normally distributed with a mean of 61 minutes and a standard deviation of 9 minutes.

a) What percentage of the finishing times exceeds 72 minutes?

b) What percentage of the finishing times is between 52 and 70 minutes?

c) Find the value of the 95th percentile, P95, for this random variable.

d) Use the information from part (c) to circle the correct choice and fill in the blanks to complete the following statement: _________% of the finishing times in a New York City 10-Kilometer road race is (at least / at most) _________ minutes.

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