8. Fire Department Statistics A fire department has to make sure that it has enough personnel and vehicles on hand to respond to fires, medical emergencies, and other situations where they provide aid. To determine this, fire departments frequently use a Poisson distribution in order to make decisions. The fire department for the city of Erie, Pennsylvania has records that show that they respond to an average of 15 incidents per day (the single highest total they have ever had is 28; use 28 as your highest target number). Using a Poisson distribution, answer the following questions. a. On a random day, what is more likely, 15 emergency incidents or at least 20 incidents? b. On a random day, what is more likely, 14 to 16 emergency incidents or less than 14 incidents? C. On the 4th of July, the Erie fire department responds to 21 incidents. Is there reason to believe the guidelines should be adjusted for this holiday?