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

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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(52778) About Me  (Show Source):
You can put this solution on YOUR website!
.

P = C%5B2%5D%5E1%2A0.2%2A%281-0.2%29 = 2*0.2*0.8 = 0.32.    ANSWER

The binomial distribution probability problem.

Solved.



Answer by greenestamps(13200) About Me  (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