

Subject:
probability
Category: Science > Math Asked by: tlcmktga List Price: $40.00 
Posted:
29 Jul 2006 14:20 PDT
Expires: 02 Aug 2006 05:00 PDT Question ID: 750699 
There are x number of phone lines connected to an 800 number, which can take x calls simultaneously. On average, it takes y seconds to answer one call. When there are more than x people calling, additional callers will be put on hold, until someone gets off and a phone line is available to answer the call. Let z be the average number of people calling in an hour. Assume everyone calls on the second. Formulate the probability for the waittime (t), in terms of x, y, and z. (The waittime is the number of seconds caller be put on hold before the call is answered. ) 

There is no answer at this time. 

Subject:
Re: probability
From: berkeleychocolatega on 29 Jul 2006 22:12 PDT 
There is not enough information to answer the question. One needs the distribution of calls in and the distribution of time to answer a call. Typically the distribution of calls in is Poisson and the answer times are exponential. If these assumptions are made, then the question can be answered. 
Subject:
Re: probability
From: tlcmktga on 30 Jul 2006 05:17 PDT 
Thank you for your comments. This is an automatic phone service system. Duration for each call is constant, y. Assume there are z incoming calls every hour, and they have equal chance of calling on any second during that hour. Thanks again. 
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