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The heights of European 13-year-old boys can be approximated by a normal model with mean of 63.5 inches and standard deviation of 2.52 inches. Question

The heights of European 13-year-old boys can be approximated by a normal model with mean of 63.5 inches and standard deviation of 2.52 inches.

Question 1. What is the probability that a randomly selected 13-year-old boy from Europe is taller than 65.7 inches?

(use 4 decimal places in your answer)

Question 2. A random sample of 4 European 13-year-old boys is selected. What is the probability that the sample mean height x is greater than 65.7 inches?

(use 4 decimal places in your answer)

Question 3. A random sample of 9 European 13-year-old boys is selected. What is the probability that the sample mean height x is greater than 65.7 inches?

(use 4 decimal places in your answer)

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