30. IRS Audits The Hemingway Financial Company prepares tax returns for individuals. (Motto: We also write great
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30. IRS Audits The Hemingway Financial Company prepares tax returns for individuals.
(Motto: “We also write great fiction.”) According to the Internal Revenue Service, individuals making $25,000$50,000 are audited at a rate of 1%. The Hemingway Company prepares five tax returns for individuals in that tax bracket, and three of them are audited.
a. Find the probability that when 5 people making $25,000$50,000 are randomly selected, exactly 3 of them are audited.
b. Find the probability that at least 3 people are audited.
c. Based on the preceding results, what can you conclude about the Hemingway customers?
Are they just unlucky, or are they being targeted for audits?
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