# Question

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?

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?

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