The heights of the members of a club are normally distributed with mean 166 cm and standard deviation 10 cm .
Find the probability that a randomly chosen member of the club has height less than 170 cm .
Given that \(40 \%\) of the members have heights greater than \(h \mathrm {~cm}\), find the value of \(h\) correct to 2 decimal places.
The random variable \(X\) is normally distributed with mean \(\mu\) and standard deviation \(\sigma\). Given that \(\sigma = \frac { 2 } { 3 } \mu\), find the probability that a randomly chosen value of \(X\) is positive.