One of the most common forms of colorblindness is a sex-linked hereditary condition caused by a defect on the X chromosome (one of the two chromosomes that determine gender). It is known that colorblindness is much more prevalent in males than in females. Suppose that 6% of males are colorblind but only 0.75% of females are colorblind. In a certain population, 45% are male and 55% are female. A person is randomly selected from this population.
(a) Find the probability that the person is colorblind.
(b) Find the probability that the person is colorblind given that the person is a male.