Assume That Each Year the IRS Randomly Audits 10% of the Tax

question 17

Short Answer

Assume that each year the IRS randomly audits 10% of the tax returns. If a married couple has filed separate returns,
a.What is the probability that both the husband and the wife will be audited?
b.What is the probability that only one of them will be audited?
c.What is the probability that neither one of them will be audited?
d.What is the probability that at least one of them will be audited?

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Definitions:

Polygraph

A device that measures physiological responses, such as heart rate and sweat production, to assess truthfulness.

Electrocardiograph

A device used to record the electrical activity of the heart over a period of time.

Electroencephalograph

A machine used to record the electrical activity of the brain through electrodes attached to the scalp.

Myograph

An instrument that records the force and duration of muscle contractions.