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Finishing time of a girls swimming competition at the gym is normally distributed with a mean of 83 seconds and standard deviation of 5 seconds.

Finishing time of a girls swimming competition at the gym is normally distributed with a mean of 83 seconds and standard deviation of 5 seconds. (a) If a participant selected at random, what is the probability of her time being more than 90 seconds (calculate to 4 dp)? (b) Find the time that is exceeded by 68% of the participants.

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