The chance of an IRS audit for a tax return with over $25,000 in income is about 2% per year. We are interested in the expected number of audits a person with that income has in a 16-year period. Assume each year is independent. Part (a) Part (b) List the values that X may take on. X=0, 1, 2, 15, 16 OX= 1, 2, 3, OX=1, 2, 3, OX=1, 2, 3,... 15, 16 98, 99, 100 Part (c) Give the distribution of X X-B16 0.02 Part (d) How many audits are expected in a 16-year period? (Round your answer to two decimal places.) 0.32 audits Part (e) Find the probability that a person is not audited at all. (Round your answer to four decimal places.) Part (1) Find the probability that a person is audited more than twice. (Round your answer to four decimal places.)

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The chance of an IRS audit for a tax return with over $25,000 in income is about 2% per year. We are interested in the expected number of audits a person with that income has in a 16-year period. Assume each year is independent.
Part (a)
Part (b)
List the values that X may take on.
X=0, 1, 2,..., 15, 16
OX= 1, 2, 3,
OX= 1, 2, 3,
OX=1,2,3,...
15, 16
98, 99, 100
Part (c)
Give the distribution of X
X-B
0.02
□ Part (d)
How many audits are expected in a 16-year period? (Round your answer to two decimal places.)
0.32
audits
Part (e)
Find the probability that a person is not audited at all. (Round your answer to four decimal places.)
Part (1)
Find the probability that a person is audited more than twice. (Round your answer to four decimal places.)
Transcribed Image Text:The chance of an IRS audit for a tax return with over $25,000 in income is about 2% per year. We are interested in the expected number of audits a person with that income has in a 16-year period. Assume each year is independent. Part (a) Part (b) List the values that X may take on. X=0, 1, 2,..., 15, 16 OX= 1, 2, 3, OX= 1, 2, 3, OX=1,2,3,... 15, 16 98, 99, 100 Part (c) Give the distribution of X X-B 0.02 □ Part (d) How many audits are expected in a 16-year period? (Round your answer to two decimal places.) 0.32 audits Part (e) Find the probability that a person is not audited at all. (Round your answer to four decimal places.) Part (1) Find the probability that a person is audited more than twice. (Round your answer to four decimal places.)
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