Please answer the following questions with a detailed explanation

The chance of an IRS audit for a tax return with over $25,000 in income is about 2% per year. Suppose that 100 people with tax returns over $25,000 are randomly picked. We are interested in the number of people audited in one year. Use a Poisson distribution to answer the following questions. + Part (a) Part (b) Part (c) Give the distribution of X. (Enter an exact number as an integer, fraction, or decimal.) X - ? v Part (d) How many are expected to be audited? (Enter an exact number as an integer, fraction, or decimal ) people Part (e) Find the probability that no one was audited. (Round your answer to four decimal places.) Part (f) Find the probability that at least two were audited. (Round your answer to four decimal places)