Lower-tail probability for a normal mass and the limits of a symmetric central interval

The masses of the eggs laid on a poultry farm are normally distributed with mean \(62\) g and standard deviation \(4.5\) g.

1. Find the probability that an egg chosen at random has a mass of at most \(55\) g.[2]
2. The mass of an egg lies between \(p\) g and \(q\) g with probability \(0.9\), where \(p\) lies as far below the mean as \(q\) lies above it. Find \(p\) and \(q\).[3]