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Q: Math Question for Poisson distribution of a restaurant ( No Answer,   2 Comments )
Question  
Subject: Math Question for Poisson distribution of a restaurant
Category: Science > Math
Asked by: scifinut69-ga
List Price: $10.00
Posted: 20 Oct 2004 03:29 PDT
Expires: 20 Oct 2004 13:49 PDT
Question ID: 417444
Customers at a popular restaurant that refuses reservations arrive
according to the Poisson distribution at a rate of 4 parties every 5
minutes.  What is the probability that there will be more than 2
minutes between arriving parties?
Answer  
There is no answer at this time.

Comments  
Subject: Re: Math Question for Poisson distribution of a restaurant
From: padmapani-ga on 20 Oct 2004 06:04 PDT
 
If the arrival rate is poisson distributed then the inter-arrival time
is exponentially distributed.

Therefore I am hazarding a guess that the required probability is
1-e^lt where l= arrival rate = 4/5 per minute  and t=2 minutes.

Therefor the reqd. prob = 1 -e^(8/5)= 1-0.201896518 = 0.798.

The researcher would probably confirm or deny this.
Subject: Re: Math Question for Poisson distribution of a restaurant
From: pafalafa-ga on 20 Oct 2004 06:43 PDT
 
It depends whether poisson was on the menu or not...

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