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1.Suppose height of men in the US is normally distributed with mean 70 inches and standard deviation 3 inches. a)Find the probability that a randomly

1.Suppose height of men in the US is normally distributed with mean 70 inches and standard deviation 3 inches.

a)Find the probability that a randomly selected male has blood is taller than 6'2".

b)Find an interval that contains the middle 95% of men's height

c)Find the probability that the sample mean height of 10 randomly selected men exceeds 6'2" feet.

d)Compare the answers to a and c and explain why the answers are not the same?

e)Find an interval where you expect the middle 95% of sample means based on 10 randomly selected mean to fall?

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