Question

The Internal Revenue Service is studying the category of charitable contributions. A sample of 28 returns is selected from young couples between the ages of 20 and 35 who had an adjusted gross income of more than $100,000. Of these 28 returns, 5 had charitable contributions of more than $1,000. Suppose 4 of these returns are selected for a comprehensive audit.

a. Explain why the hypergeometric distribution is appropriate. Because

b. What is the probability exactly one of the four audited had a charitable deduction of more than $1,000?

c. What is the probability at least one of the audited returns had a charitable contribution of more than $1,000?

Answer #1

The Internal Revenue Service is studying the category of
charitable contributions. A sample of 22 returns is selected from
young couples between the ages of 20 and 35 who had an adjusted
gross income of more than $100,000. Of these 22 returns, 7 had
charitable contributions of more than $1,000. Suppose 6 of these
returns are selected for a comprehensive audit.
Explain why the hypergeometric distribution is appropriate.
Because:
you are sampling a small population without replacement.
you are sampling...

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