Question

The height of women in the United States has a mean of 65 inches and a standard deviation of 3.5 inches.

Find the probability that a woman chosen at random will be within 3 inches of the mean.

Answer 1

Solution:

Given

Mean = 65

Standard deviation = 3.5

Here we need to find

As distribution is normal we can convert x to z

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probability that a woman chosen at random will be within 3 inches of the mean is = 0.61022

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