Assume the world human population heights follow a perfect normal distribution with standard deviation of 20 and mean of 150, what percentage of the population would have a height between 130 and 170?

68.27%

Explanation:

We assume that the world human population heights follow a perfect normal distribution.

Given : Population mean :

Standard deviation :

Let X be the random variable that represents the height of population.

Z-score :

For x=130

For x=170

By using the standard normal distribution table for z , we have

P-value =

Hence, the percentage of the population would have a height between 130 and 170 = 68.27%

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explanation: