How do I do this problem in my TI-84 Plus CE

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 a13-year period. Assume each year is independent.

• Part (a)
• In words, define the Random VariableX.
• the number of audits the IRS does each year
• the yearly income of a person
• the number of audits the IRS does every 13 years for a person who has an income over $25,000
• the number of audits a person who has an income over $25,000 receives in a 13-year period
• Part (b)
• List the values thatXmay take on.
• X= 1, 2, 3, ...
• X= 0, 1, 2, ..., 12, 13
• X= 1, 2, 3, ..., 98, 99, 100
• X= 1, 2, 3, ..., 12, 13
• Part (c)
• Give the distribution ofX.
• X~,
• Part (d)
• How many audits are expected in a13-year period? (Round your answer to two decimal places.)
• audits
• Part (e)
• Find the probability that a person is not audited at all. (Round your answer to four decimal places.)
• Part (f)
• Find the probability that a person is audited more than twice. (Round your answer to four decimal places.)