Suppose the probability of an IRS audit is 3.8 percent for U. S. taxpayers who file form 1040 and who earned $100,000 or more. What are the odds that such a taxpayer will be audited? (Round your answers to the nearest whole number.) What are the odds against such a taxpayer being audited? (Round your answers to the nearest whole number.)

a) The odds that such a taxpayer will be audited is 4%.

b) The odds against such a taxpayer being audited is 96%.

Step-by-step explanation:

a) Data and Calculations:

The probability of an IRS audit = 3.8% for U.S. taxpayers who file form 1040 and earned $100,000.

This is the same as the odds that such a taxpayer will be audited.  Odds is the likelihood or chance that an event will take place.

b) The probability of not being audited is 100 - 3.8% = 96.2%

The odd against being audited is the likelihood or chance that an event will not take place.

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is

step-by-step explanation: