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The amount of rainfall during August at a popular resort is approximately normally distributed with a mean of 40 mm and a standard deviation of

The amount of rainfall during August at a popular resort is approximately normally distributed with a mean of 40 mm and a standard deviation of 12 mm.

(a) What is the probability that the resort will have less than 5 mm of rain next August?

(b) What is the probability that the resort will have more than 25 mm of rain next August?

(c) What amount of rainfall is exceeded only 10% of the time in August?

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