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?
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