3 Part (a) In words, define the Random Variable X. the number of audits the IRS does each year the number of audits a person who has an income over $25,000 receives in a 15-year period O the number of audits the IRS does every 15 years for a person who has an income over $25,000 the yearly income of a person Part (b) List the values that X may take on. O x = 1, 2, 3, .., 14, 15 O x = 0, 1, 2, ., 14, 15 O x= 1, 2, 3, .. Ox = 1, 2, 3, .., 98, 99, 100 Part (c) Give the distribution of X. x-O(0:0)

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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 15-year period. Assume each year is independent.
O Part (a)
In words, define the Random Variable X.
O the number of audits the IRS does each year
the number of audits a person who has an income over $25,000 receives in a 15-year period
O the number of audits the IRS does every 15 years for a person who has an income over $25,000
O the yearly income of a person
O Part (b)
List the values that X may take on.
O x = 1, 2, 3, .., 14, 15
X = 0, 1, 2, .., 14, 15
O x = 1, 2, 3, ..
O x= 1, 2, 3, ..., 98, 99, 100
O Part (c)
Give the distribution of X.
x-O(0:0)
O Part (d)
How many audits are expected in a 15-year period? (Round your answer to two decimal places.)
audits
O Part (e)
Find the probability that a person is not audited at all. (Round your answer to four decimal places.)
O Part (f)
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 15-year period. Assume each year is independent. O Part (a) In words, define the Random Variable X. O the number of audits the IRS does each year the number of audits a person who has an income over $25,000 receives in a 15-year period O the number of audits the IRS does every 15 years for a person who has an income over $25,000 O the yearly income of a person O Part (b) List the values that X may take on. O x = 1, 2, 3, .., 14, 15 X = 0, 1, 2, .., 14, 15 O x = 1, 2, 3, .. O x= 1, 2, 3, ..., 98, 99, 100 O Part (c) Give the distribution of X. x-O(0:0) O Part (d) How many audits are expected in a 15-year period? (Round your answer to two decimal places.) audits O Part (e) Find the probability that a person is not audited at all. (Round your answer to four decimal places.) O Part (f) Find the probability that a person is audited more than twice. (Round your answer to four decimal places.)
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