# statistics

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the distribution of heights of American women aged 18 to 24 is approximately normally distributed with mean 65.5 inche and standard deviation 2.5 inches. what is the probability that a randomly seleted woman is between 60 and 64 inches tall?

• statistics -

Use z-scores and a z-table to determine your probability.

Formula:
z = (x - mean)/sd

Find both z-values:
z = (60 - 65.5)/2.5
z = (64 - 65.5)/2.5

Once you calculate both z-values, check a z-table for the probability between those two values.

I hope this will help.

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