Heights of males are normally distributed with the mean 170 cm and the standard deviation of 8 cm. What is the probability that males are between 164 cm and 176 cm tall?

Answer 1

To solve this problem, we first need to calculate the z-scores for the given heights.

For 164 cm:
z = (164 - 170) / 8 = -0.75

For 176 cm:
z = (176 - 170) / 8 = 0.75

Using a standard normal distribution table or a calculator, we can find the probability of a z-score being between -0.75 and 0.75. This probability is approximately 0.6554.

Therefore, the probability that males are between 164 cm and 176 cm tall is approximately 65.54%.