Adult heights in a country are normally distributed with mean 1.64 m and standard deviation 0.25 m.

(a) Find the probability that a randomly chosen adult is taller than 1.93 m. [3]

Adult heights in another country are normally distributed. 33% are shorter than 1.56 m and 25% are taller than 1.86 m.

(b) Find the mean and standard deviation of this distribution. [5]