CHAPTER 518. Here is the distribution of the adjusted gross income (in thousands of dollars) reported on individual federal income tax returns in a recent year:Income<2525-4950-99100-499500≥Probability0.4310.2480.2150.1000.006a.What is the probability that a randomly chosen return shows an adjusted gross income of $50,000 or more?b.Given that a return shows an income of at least $50,000, what is the conditional probability that the income is at least $100,000?19. A shipment contains 10,000 switches. Of these, 1,000 are bad. An inspector draws 2 switches at random, one after the other. a.Draw a tree diagram that shows the sample space of this chance process.b.Find the probability that both switches are defective.