Occasionally an airline will lose a bag. An airline company has determined that it can estimate the number of bags lost each weekday using the Poisson distribution with a mean of 2.2 bags lost per weekday. Use this information to calculate the following. Round your answers to three decimal places. a. What is the probability that the airline will lose no bags next Monday?
b. What is the probability that the airline will lose 0, 1, or 2 bags on next Monday?
c. Suppose the airline expands over the course of the next 3 years, doubling the number of flights it makes, and the CEO asks you if it’s reasonable for them to continue using the Poisson model with a mean of 2.2. What is an appropriate recommendation? Explain.