Males in the Netherlands are the tallest, on average, in the world with an average height of 183 centimeters (cm).† Assume that the height of males in the Netherlands is normally distributed with a mean of 183 cm and standard deviation of 10.5 cm. (a) What is the probability that a Dutch male is shorter than 176 cm? (Round your answer to four decimal places.)   (b) What is the probability that a Dutch male is taller than 194 cm? (Round your answer to four decimal places.)   (c) What is the probability that a Dutch male is between 175 and 191 cm? (Round your answer to four decimal places.)   (d) Out of a random sample of 1,000 Dutch males, how many would we expect to be taller than 189 cm? (Round your answer to the nearest integer.)

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Males in the Netherlands are the tallest, on average, in the world with an average height of 183 centimeters (cm).† Assume that the height of males in the Netherlands is normally distributed with a mean of 183 cm and standard deviation of 10.5 cm.

(a)
What is the probability that a Dutch male is shorter than 176 cm? (Round your answer to four decimal places.)
 
(b)
What is the probability that a Dutch male is taller than 194 cm? (Round your answer to four decimal places.)
 
(c)
What is the probability that a Dutch male is between 175 and 191 cm? (Round your answer to four decimal places.)
 
(d)
Out of a random sample of 1,000 Dutch males, how many would we expect to be taller than 189 cm? (Round your answer to the nearest integer.)
 
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