SOLUTION: The Internal Revenue Service is studying the category of charitable contributions. A sample of 36 returns is selected from young couples between the ages of 20 and 35 who had an ad

Algebra.Com
Question 1040582: The Internal Revenue Service is studying the category of charitable contributions. A sample of 36 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 36 returns, 6 had charitable contributions of more than $1,000. Suppose 5 of these returns are selected for a comprehensive audit.

a You should use the hypergeometric distribution is appropriate. Because



b.
What is the probability exactly one of the five audited had a charitable deduction of more than $1,000? (Round your answer to 4 decimal places.)

Probability

c.
What is the probability at least one of the audited returns had a charitable contribution of more than $1,000? (Round your answer to 4 decimal places.)

Answer by solver91311(24713)   (Show Source): You can put this solution on YOUR website!


You want to use a hypergeometric distribution because it is a discrete probability distribution giving the probability of k successes in n trials without replacement.

StatTrek Hypergeometric Calculator will save you a bunch of arithmetic.

John

My calculator said it, I believe it, that settles it


RELATED QUESTIONS

The Internal Revenue Service is studying the category of charitable contributions. A... (answered by Fombitz)
Suppose the Internal Revenue Service is studying the category of charitable... (answered by stanbon)
The Internal Revenue Service is studying the category of charitable contributions. A... (answered by stanbon)
Suppose the Internal Revenue Service is studying the category of charitable... (answered by gmack)
The Internal Revenue Service is studying the category of charitable contributions. A... (answered by Boreal)
The Internal Revenue Service is studying the category of charitable contributions. A... (answered by Boreal)
The probability that a corporation makes charitable contributions is .72. Two... (answered by ewatrrr)
: The probability that a corporation makes charitable contributions is .72. Two... (answered by Fombitz)
The average charitable contribution itemized per income tax return in Pennsylvania is... (answered by robertb)