High School

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 men in the Netherlands is normally distributed with a mean of 183 cm and a standard deviation of 10.5 cm.

What is the probability that a Dutch male is shorter than 176 cm?

Answer :

Final answer:

The probability that a Dutch male is shorter than 176 cm is approximately 0.2514, or 25.14%.

Explanation:

To find the probability that a Dutch male is shorter than 176 cm, we need to calculate the z-score and use the standard normal distribution table. The z-score formula is z = (176 - 183) / 10.5 = -0.67. The probability can be found by looking up the z-score in the standard normal distribution table, which corresponds to the area to the left of the z-score.

Based on the standard normal distribution table, the probability of a Dutch male being shorter than 176 cm is approximately 0.2514, or 25.14%.

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