SOLUTION: The lengths of the babies born in city hospital in the last year are normally distributed. The mean length is 20.4 inches, and the standard deviation is 0.8 inch. Trey was 22.3 inc

Question 260164: The lengths of the babies born in city hospital in the last year are normally distributed. The mean length is 20.4 inches, and the standard deviation is 0.8 inch. Trey was 22.3 inches long at birth.
a) what percent of the babies born at City Hospital were longer than Trey?
b) What percent of the babies born at City Hospital were shorter than Trey?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
The lengths of the babies born in city hospital in the last year are normally distributed. The mean length is 20.4 inches, and the standard deviation is 0.8 inch. Trey was 22.3 inches long at birth.
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z(22.3) = (22.3-20.4)/0.8 = 2.375
a) what percent of the babies born at City Hospital were longer than Trey?
P(x> 22.3") = P(z> 2.375) = 0.0088.. = 0.88%
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b) What percent of the babies born at City Hospital were shorter than Trey?
100% - 0.88% = 99.12%
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Cheers,
Stan H.
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