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Normal Probability: Marathon qualification

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7000 people could qualify for a marathon if they complete the 26-mile plus distance in under 3 hours and 10 minutes. 6350 complete the race. The times are normally distributed and the mean is 3 hours and 40 minutes with a standard deviation of 28 minutes. How many runners qualified?

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The solution provides step by step method for the calculation of probability using the Z score. Formula for the calculation and Interpretations of the results are also included.

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Normal distribution
7000 people could qualify for a marathon if they complete the 26-mile plus distance in under 3 hours and 10 minutes. 6350 complete the race. The ...

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