Here is the distribution of the adjusted gross income (in thousands of dollars)

ID: 3433377 • Letter: H

Question

Here is the distribution of the adjusted gross income (in thousands of dollars) reported on individual federal income tax returns in 2008:

A. What is the probability that a randomly chosen return shows an adjusted gross income of $30,000 or more? Your answer should be accurate to 3 decimal places. Here is the distribution of the adjusted gross income (in thousands of dollars) reported on individual federal income tax returns in 2008: A. What is the probability that a randomly chosen return shows an adjusted gross income of $30,000 or more? Your answer should be accurate to 3 decimal places. B.Given that a return shows an income of at least $30,000, what is the conditional probability that the income is at least $75,000? (Give your answer to 4 decimal places.)

Explanation / Answer

(A) P(X>=30000) = 0.315+0.18+0.031 =0.526

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(B) P(X>=75000| X>=30000) = P(X>=75000) / P(X>=30000)

=(0.18+0.031)/0.526

=0.4011

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Here is the distribution of the adjusted gross income (in thousands of dollars)

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Here is the distribution of the adjusted gross income (in thousands of dollars)

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