1. A service center receives an average of 0.6 customer complaints per hour. Management’s goal is to receive fewer than three complaints each hour. Assume the number of complaints follows the Poisson distribution. Determine the probability that managements goal will be achieved during the next hour.
2. An automated phone system can answer three calls in a five-minute period. Assume that calls occur at an average rate of 1.2 every five minutes and follow a Poisson probability distribution. Calculate the probability that at least 4 calls will occur during the next ten minutes.
3. An automated phone system can answer three calls in a five-minute period. Assume that calls occur at an average rate of 1.2 every five minutes and follow a Poisson probability distribution. Calculate the probability that no more than 3 calls will occur during the next ten minutes.