A new phone-answering system installed by a certain utility company is capable of handlingnine calls every 10 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 four every 10 minutes. If the analysts are correct about this incoming call distribution, what is the probability that in a 10-minute period more calls will arrive than the system can handle? Based on this probability, comment on the adequacy of the new answering system.

The probability that more calls will arrive than the system can handle is?

Based on this probability, is the new answering system adequate? Consider a probability less than 0.10 as sufficiently small and greater than 0.40 as very large. Choose the correct answer below.