In: Math
Suppose the probability of an IRS audit is 2.9 percent for U.S.
taxpayers who file form 1040 and who earned $100,000 or more.
(a) What are the odds that such a taxpayer will be
audited? (Round your answers to the nearest whole
number.)
Odds that a taxpayer will be audited
to
(b) What are the odds against such a
taxpayer being audited? (Round your answers to the nearest
whole number.)
Odds against a taxpayer being audited
Given:
Probability of an IRS audit is 2.9 percent for U.S. taxpayers who file form 1040 and who earned $100,000 or more
i.e
for every 100 taxpayers who file form 1040 and who earned $100,000 or more ; 2.9 of them are being audited.
i.e, 100-2.9 = 97.1 tax payers are not being audited.
Number of taxpayers that are being audited = 2.9
Number of taxpayers that are not being audited = 97.1
(a) the odds that such a taxpayer will be audited = Number of taxpayers that are being audited / Number of taxpayers that are not being audited = 2.9 / 97.1 = 0.029866 0
odds that such a taxpayer will be audited = 0
(b) the odds against such a taxpayer being audited = Number of taxpayers that are not being audited / Number of taxpayers that are being audited = 97.1/2.9 = 33.48276 33
Odds against a taxpayer being audited = 33