7. When you submit your tax return to the IRS, they screen your return for indications...

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7. When you submit your tax return to the IRS,they screen your return for indications of fraud. Naturally thescreening system is not perfect: only 92% of fraudulent tax returnsget red-flagged (that is, the IRS’ system detects the fraud), and9% of honest tax returns get red-flagged (the system mistakenlybelieves these good returns to be fraudulent). A tax return the IRSbelieves not to be fraudulent is said to be “green-flagged.”Suppose that 4% of all tax returns are fraudulent.(a) What percent of all tax returns are correctlyflagged?

(b) If a tax return is red-flagged, what is theprobability this return is fraudulent?

(c) The answer to part (b) might worry anadministrator at the IRS (or a taxpayer, for that matter!). Brieflyexplain what causes the answer to part (b) to be somewhat low.

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We have given below informationp flagged red honest tax returns 009p flagged green honest tax returns 091p flagged red fraudulent tax returns 092p flagged green fraudulent tax returns 008phonest tax returns 096pfraudulent tax returns 004a What percent of all tax    See Answer
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