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The heights of five-year-olds are normally distributed, with a mean of 3.0ft and a standard deviation...

The heights of five-year-olds are normally distributed, with a mean of 3.0ft and a standard deviation of 0.65ft.

(a) What is the probability that a randomly chosen five-year-old will be less than 2.5ft tall?

(b) What is the probability that the mean height in a random sample of 50 five-year-olds will be more than 5ft tall?

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