Use the normal distribution of heights of adult​ women, which has a mean of 169 centimeters and a standard deviation of 8 ​centimeters, and the following table with the standard scores and percentiles...



Use the normal distribution of heights of adult​ women, which has a mean of 169 centimeters and a standard deviation of 8 ​centimeters, and the following table with the standard scores and percentiles for a normal distribution to find the indicated quantity.



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Full data set



Standard Scores and Percentiles for a Normal Distribution

​(cumulative values from the​ left)



Standard score


​%


Standard score


​%



−3.0



0.13


0.1


53.98



−2.5



0.62


0.5


69.15



−2



2.28


0.9


81.59



−1.5



6.68


1


84.13



−1



15.87


1.5


93.32



−0.9



18.41


2


97.72



−0.5



30.85


2.5


99.38



−0.1



46.02


3


99.87


0


50.00


3.5


99.98






The percentage of heights less than 161 centimeters is ___?


Jun 02, 2022
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