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The times of marathon runners, participating in the Olympic Games, are normally distributed with mean 3.5 hours and a standard deviation of 0.75 hours. i.
The times of marathon runners, participating in the Olympic Games, are normally distributed with mean 3.5 hours and a standard deviation of 0.75 hours. i. What is the proportion of runners in the Olympic Games that nish in less than 3 hours? (2 marks) ii. What is the proportion of runners that nish the Olympic Games with times between 2.5 and 4.5 hours? (3 marks) iii. Do you think it is reasonable to assume that the times of marathon runners follow a normal distribution? Briey explain your View. (2 marks)
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