The reference desk of a university library receives requests for assistance. Assume that a Poisson probability distribution with an arrival rate of 10 requests per hour can be used to describe the arrival pattern and that service times follow an exponential probability distribution with a service rate of 12 requests per hour. What is the probability that no requests for assistance are in the system? If required, round your answer to four decimal places. P0= What is the average number of requests that will be waiting for service? If required, round your answer to four decimal places. Lq= What is the average waiting time in minutes before service begins? If required, round your answer to nearest whole number. Wq= What is the average time at the reference desk in minutes (waiting time plus service time)? If required, round your answer to nearest whole number. W= What is the probability that a new arrival has to wait for service? If required, round your answer to four decimal places. Pw=
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.
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The reference desk of a university library receives requests for assistance. Assume that a Poisson probability distribution with an arrival rate of 10 requests per hour can be used to describe the arrival pattern and that service times follow an exponential probability distribution with a service rate of 12 requests per hour.
- What is the probability that no requests for assistance are in the system? If required, round your answer to four decimal places.
P0= - What is the average number of requests that will be waiting for service? If required, round your answer to four decimal places.
Lq= - What is the average waiting time in minutes before service begins? If required, round your answer to nearest whole number.
Wq= - What is the average time at the reference desk in minutes (waiting time plus service time)? If required, round your answer to nearest whole number.
W=- What is the probability that a new arrival has to wait for service? If required, round your answer to four decimal places.
Pw=
- What is the probability that a new arrival has to wait for service? If required, round your answer to four decimal places.
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