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# Discrete Probability Distributions- Normal probability

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The one-mile running time for CMS male athletes is approx. distributed normally with a mean of 7.5 minutes and a standard deviation of 0.6 mins. (A) What percentage of athletes run a mile in less than 7 minutes? In less than 8 mins? In more than 6.5? Between 7 and 8 mins? (B) If a male athlete is randomly chosen, what is the probability that his time is more than 9 mins? (C) The fastest 5% athletes will be chosen for state competitions What timing must be set as a criterion?

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#### Solution Summary

The solution provides step by step method for the calculation of probability based on normal distribution . Formula for the calculation and Interpretations of the results are also included.

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