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The finish times for marathon runners during during a race are normally distributed with a mean of 200 minutes and a standard deviation of 60

The finish times for marathon runners during during a race are normally distributed with a mean of 200 minutes and a standard deviation of 60 minutes. 

a) What is the probability that a runner will complete the marathon within 6 hours? 

b) Calculate to the nearest minute, the time by which the first 9% runners have completed the marathon. 

c) What proportion of the runners will complete the marathon between 1 hours and 4 hours?

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u 200 60 We convert this to standard normal as P X x P Z x u a P X 6 hours P X 360 min P Z 360 2... blur-text-image

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