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Q: probability ( No Answer,   2 Comments )
Subject: probability
Category: Science > Math
Asked by: tlcmkt-ga
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
wait-time (t), in terms of x, y, and z.   (The wait-time 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: berkeleychocolate-ga 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: tlcmkt-ga 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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