Suppose that people's heights (in centimeters) are normally distributed,
with a mean of 170 and a standard deviation of 5. We find the heights
of 90 people. (Round answer to nearest whole number.)
how many would you expect to be 170 & 180 cm tall?
For height=170cm, z1=(170-170)/5=0
For height=180cm, z2=(180-170)/5=2
According to standard normal distribution table, the probability that z<0 is 0.5, the probability that z<2 is 0.9772
So the probability between z=0 and z=2 is .9772-0.5=0.4772
So we would expect 43 people to be 170 & 180 cm tall.
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