The Hemingway Financial Company prepares tax returns for individuals. According to the Internal Revenue Service, individuals making $50,000 - $ 75,000 are audited at a rate of 3%. The Hemingway Company prepares six tax returns for individuals in that tax bracket, and three of them are audited.
Find the probability that when 6 people making $50,000 - $75,000 are randomly selected, exactly 3 of them are audited?
What is the expected number of audits for the 6 randomly selected individuals?
What is the standard deviation for the number of audits for the 6 randomly selected individuals?