Consider a population of 2000 individuals, 800 of whom are women. Assume that 300 of the women in this population earn at least $60,000 per year, and 200 of the men earn at least $60,000 per year. a....

Consider a population of 2000 individuals, 800 of whom are women. Assume that 300 of the women in this population earn at least $60,000 per year, and 200 of the men earn at least $60,000 per year.

a. What is the probability that a randomly selected individual from this population earns less than $60,000 per year?

b. If a randomly selected individual is observed to earn less than $60,000 per year, what is the probability that this person is a man?

 c. If a randomly selected individual is observed to earn at least $60,000 per year, what is the probability that this person is a woman?