7. The heights of adult females are normally distributed with mean 160 cm and standard deviation 8 cm .
- Find the probability that a randomly selected adult female has a height greater than 170 cm .
Any adult female whose height is greater than 170 cm is defined as tall.
An adult female is chosen at random. Given that she is tall,
- find the probability that she has a height greater than 180 cm .
Half of tall adult females have a height greater than \(h \mathrm {~cm}\).
- Find the value of \(h\).