SOLUTION: Assume that each year the IRS randomly audits 20% of the tax returns. If a married couple has filed separate returns, answer the following questions. (a)What is the probability th

Question 1201125: Assume that each year the IRS randomly audits 20% of the tax returns. If a married couple has filed separate returns, answer the following questions.
(a)What is the probability that only one of them will be audited?

Found 2 solutions by ikleyn, greenestamps:
Answer by ikleyn(52779) (Show Source): You can put this solution on YOUR website!
.

P = = 2*0.2*0.8 = 0.32. ANSWER

The binomial distribution probability problem.

Solved.

Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!

The other basic method for solving the problem (without using binomial probability)....

P(man gets audited, wife does not) = (0.2)(0.8) = 0.16
P(wife gets audited, man does not) = (0.2)(0.8) = 0.16

P(only one of them gets audited) = 0.16 + 0.16 = 0.32

ANSWER: 0.32

RELATED QUESTIONS
Assume that each year the IRS randomly audits 5% (0.05) of the tax returns. If a married... (answered by rothauserc)
Stats question: An IRS inspector is to select 3 corporations from a list of 15 for tax... (answered by rothauserc)
Suppose that 85% of all federal tax returns filed last year are free of arithmetic... (answered by robertb)
An IRS auditor randomly selects 3 tax returns from 57 returns of which 8 contain errors.... (answered by KMST)
An IRS auditor randomly selects 3 tax returns from 61 tax returns of which 9 contain... (answered by math_helper)
an IRS auditor randomly selected 3 tax returns from 50 returns of which contain errors.... (answered by Fombitz)
An IRS auditor randomly selects 3 tax returns (without replacement) from 47 returns of... (answered by edjones)
An irs person randomly selects 3 tax returns with out replacement from 47 returns of... (answered by ikleyn)
In 2000, about 127 million income tax returns were filed. By 2004 this number has... (answered by ahenderson)