A new phone-answering system installed by a certain utility company is capable of handling ten calls every 5 minutes. Prior to installing the new system, company analysts determined that the incoming...

Extracted text: A new phone-answering system installed by a certain utility company is capable of handling ten calls every 5 minutes. Prior to installing the new system, company analysts determined that the incoming calls to the system are Poisson distributed with a mean equal to six every 5 minutes. If the analysts are correct about this incoming call distribution, what is the probability that in a 5-minute period more calls will arrive than the system can handle? Based on this probability, comment on the adequacy of the new answering system.