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:

Hypomania

A mild form of mania, characterized by heightened mood, energy, or irritability, but not severe enough to impede functioning.

Mania

A mental state characterized by extremely high energy, euphoria, elevated mood, or irritability, often associated with bipolar disorder.

Symptoms

Signs or indicators that are indicative of a disease, condition, or the existence of a particular problem.

Bipolar Disorder

a mental disorder marked by extreme mood swings, ranging from manic highs to depressive lows.