# Applied Managerial Statistics The chances of a tax return being audited are about 13 in 1,000 if an income is less than \$100,000 and 29 in 1,000 if…

if an income is less than​ \$100,000 and 29 in 1,000 if an income is​ \$100,000 or more. Complete parts a through e.

(b). If three 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?

P(X=1) =

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

What is the probability that more than one will be audited

P(x>1) =

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

c. Repeat part b assuming that

three taxpayers with incomes of​ \$100,000 or more are randomly selected.

P(x=1)=

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

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

P(x=1)

​(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(X>1) =

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