An average of 125 packets of information per minutearrive at an internet router. It takes an average of .002second to process a packet of information. The router isdesigned to have a limited buffer to store waiting messages.Any message that arrives when the buffer is full is lost tothe system. Assuming that interarrival and service times are exponentially distributed, how big a buffer size is needed toensure that at most 1 in a million messages is lost?
Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
An average of 125 packets of information per minute
arrive at an internet router. It takes an average of .002
second to process a packet of information. The router is
designed to have a limited buffer to store waiting messages.
Any message that arrives when the buffer is full is lost to
the system. Assuming that interarrival and service times are
exponentially distributed, how big a buffer size is needed to
ensure that at most 1 in a million messages is lost?
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