The United Auto Courts Reports blog notes that the National Insurance Crime Bureau says that Miami-Dade, Broward, and Palm Beach counties account for a substantial number of questionable insurance claims referred to investigators. Assume that the number of questionable insurance claims referred to investigators by Miami-Dade, Broward, and Palm Beach counties is distributed as a Poisson random variable with a mean of 7 per day. a. What assumptions need to be made so that the number of questionable insurance claims referred to investigators by Miami- Dade, Broward, and Palm Beach counties is distributed as a Poisson random variable? Making the assumptions given in (a), what is the probability that b. 5 questionable insurance claims will be referred to investigators by Miami-Dade, Broward, and Palm Beach counties in a day? c. 10 or fewer questionable insurance claims will be referred to investigators by Miami-Dade, Broward, and Palm Beach counties in a day? d. 11 or more questionable insurance claims will be referred to investigators by Miami-Dade, Broward, and Palm Beach counties in a day?
