Find the probability that a person is audited more than twice. (Round your answer to four decimal places.)

Complete Question

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 9-year period. Assume each year is independent.

Find the probability that a person is audited more than twice. (Round your answer to four decimal places.)

The probability is  

Step-by-step explanation:

From the question we are told that

The  probability of an IRS audit for a tax return with over $25,000 in income is p= 0.02

The sample size  n  =  9

Generally the distribution of IRS audit for a tax return follows a binomial distribution  

i.e  

and the probability distribution function for binomial  distribution is  

Here C stands for combination hence we are going to be making use of the combination function in our calculators  

Generally the probability that a person is not audited at all is mathematically

Generally the probability that a person is  audited once  is mathematically

Generally the probability that a person is  audited twice is mathematically represented

Generally the probability that a person is audited more than twice is mathematically represented

=>    

=>    

560

step-by-step explanation:

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