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Males in the Netherlands are the tallest, on average, in the world with an average height of183centimeters (cm) (BBC News website). Assume that the height

Males in the Netherlands are the tallest, on average, in the world with an average height of183centimeters (cm) (BBC News website). Assume that the height of men in the Netherlands is normally distributed with a mean of183cm and standard deviation of10.5cm.

a.What is the probability that a Dutch male is shorter than175cm (to 4 decimals)?

b.What is the probability that a Dutch male is taller than195cm (to 4 decimals)?

c.What is the probability that a Dutch male is between173and193cm (to 4 decimals)?

d.Out of a random sample of1000Dutch men, how many would we expect to be taller than190cm (rounded to the nearest whole number)?

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