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

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

1. 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 nothing. (Round to four decimal places as needed.) 

2. 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. 

A. The phone system is adequate because the probability that more calls will arrive than the system can handle is large. 

B. The phone system is adequate because the probability that more calls will arrive than the system can handle is sufficiently small.

 C. The phone system is not adequate because the probability that more calls will arrive than the system can handle is very large. 

D. The phone system is not adequate because the probability that more calls will arrive than the system can handle is sufficiently small.

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