Finding Normal Probabilities Worksheet With Answer Key
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19Finding normal probabilities
A survey shows that women have a mean height of µ = 65 inches
and a standard deviation of σ = 3.5 inches. For a randomly
chosen woman, what is the probability that her height is less
than 70 inches?
Step 1: Translate the height x = 70 into an equivalent z-score
by the formula
x
µ
70
65
z =
=
= 1.43.
σ
3.5
Step 2: Look up the answer in the normal probability table (Table
A of appendix).
In this case, z = 1.43 corresponds to a probability .9236.
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