The chances of a tax return being audited are about 2121 in 1 comma 0001,000 if an income is less than? $100,000 and 3636 in 1 comma 0001,000 if an income is? $100,000 or more. Complete parts a through e.

a. What is the probability that a taxpayer with income less than? $100,000 will be? audited? With income of? $100,000 or? more?

Upper P left parenthesis taxpayer with income less than $ 100 comma 000 is audited right parenthesisP(taxpayer with income less than $100,000 is audited)equals=

nothing

?(Type an integer or a? decimal.)

What is the probability that a taxpayer with income of? $100,000 or more will be? audited?

Upper P left parenthesis taxpayer with income of $ 100 comma 000 or higher is audited right parenthesisP(taxpayer with income of $100,000 or higher is audited)equals=

nothing

?(Type an integer or a? decimal.)

b. If fivefive taxpayers with incomes under? $100,000 are randomly? selected, what is the probability that exactly one will be? audited? That more than one will be? audited?

Upper P left parenthesis x equals 1 right parenthesisP(x=1)equals=

nothing ?(Round to four decimal places as? needed.)

What is the probability that more than one will be? audited?

Upper P left parenthesis x greater than 1 right parenthesisP(x>1)equals=

nothing ?(Round to four decimal places as? needed.)

c. Repeat part b assuming that fivefive taxpayers with incomes of? $100,000 or more are randomly selected.

Upper P left parenthesis x equals 1 right parenthesisP(x=1)equals=

nothing ?(Round to four decimal places as? needed.)

What is the probability that more than one will be? audited?

Upper P left parenthesis x greater than 1 right parenthesisP(x>1)equals=

nothing ?(Round to four decimal places as? needed.)

d. If two taxpayers with incomes under? $100,000 are randomly selected and two with incomes more than? $100,000 are randomly? selected, what is the probability that none of these taxpayers will be? audited?

?P(none of the taxpayers will be ?audited)equals=

nothing

?(Round to four decimal places as? needed.)

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