Final answer:
The probability calculations using the Poisson distribution help the Minneapolis law office to manage staffing and resources according to the volume of incoming calls expected at noon on Mondays.
Step-by-step explanation:
The question at hand involves the calculation of probabilities using the Poisson distribution, which is a probability distribution that expresses the probability of a given number of events occurring in a fixed interval of time or space if these events occur with a known constant mean rate and independently of the time since the last event. The Minneapolis law office experiences an average of 5.5 incoming phone calls at noon on Mondays.
To find the probability that the office receives at most six calls at noon on Monday, we must calculate the probability for 0, 1, 2, 3, 4, 5, and 6 calls and sum them up. For the law office, knowing the probability of receiving exactly six calls helps with staffing and resource management during that peak time. Lastly, calculating the probability of receiving more than eight calls at noon will aid in understanding the potential for being overburdened and can be used to make necessary adjustments in staffing or call handling procedures.