Suppose a genetic trait in Impalas (Aepyceros datoadeni) occurs more often in males. The sex ratio in impalas is bout 50 males to 100 females. 90% of males have this trait, but only 30% of females.
a) What is the probability that a randomly chosen impala will have the trait?
b) Suppose a randomly picked impala has the trait (i.e., you pick an impala without paying attention to the sex), what is the probability this impala is a female?