The heights of an adult female population are normally distributed with mean 162 cm and standard deviation 7.5 cm .
Find the probability that a randomly chosen adult female is taller than 150 cm .
(3)
Sarah is a young girl. She visits her doctor and is told that she is at the 60th percentile for height.
Assuming that Sarah remains at the 60th percentile, estimate her height as an adult.
The heights of an adult male population are normally distributed with standard deviation 9.0 cm .
Given that \(90 \%\) of adult males are taller than the mean height of adult females,