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Mathematics, 05.01.2021 16:50 ReignAsrs

The Malthouse Charity Run is a 5 kilometre race. The time taken for each runner to complete the race was recorded. The data was found to be normally distributed with a mean time of 28 minutes and a standard deviation of 5 minutes.

A runner who completed the race is chosen at random.

Write down the probability that the runner completed the race in more than 28 minutes.

3b. [2 marks]

Calculate the probability that the runner completed the race in less than 26 minutes.

3c. [3 marks]

It is known that 20% of the runners took more than 28 minutes and less than minutes to complete the race.

Find the value of .

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