The heights of European 13-year-old boys can be

The heights of European 13-year-old boys can be approximated by a normal model with mean μ of 63.7 inches and standard deviation σ of 2.26 inches.

What is the probability that a randomly selected 13-year-old boy from Europe is taller than 65 inches?

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 inches?

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 inches?

 

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