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We consider a waiting system with a single server and finite capacity c = 3, in which the customers arrive according to a Poisson process with rate λ and the service times are independent exponential random variables with parameter μ = 2λ. When the system is full, a fair coin is tossed to determine whether the second or third customer will be the next one to be served,
(a) Write the balance equations for this system, and calculate the limiting probabilities .
(b) Calculate the average time that an arriving customer who finds (exactly) one customer in the system will spend in it.
(c) Calculate the average time that a customer who enters the system will spend in it.
After reading the case, answer the following questions, using the table of collected data entitled, "Measurements taken from Neonatal Ward."
Table 6.14 displays primary food choice for a sample of alligators, classified by length (≤2.3 meters, >2.3 meters) and by the lake in Florida in which they were caught.
1.What are the most common reasons you would select a non-parametric test over the parametric alternative?
Conduct a hypothesis test to see whether the returns for mid-cap growth funds over the same period are significantly different from the average for U.S. Diversified Equity funds.
Customers arrive at an automated coffee vending machine at a rate of 4 per minute, following a Poisson distribution. What is the average number of people waiting in line?
The data in Table 8.3 are a subset of the data obtained by Featherston (1971). Among other things, he was interested in the relationship between the weight of tapeworms (Taenia hydatigena) fed to dogs and the weight of the scoleces recovered from ..
Gums are used to alter the texture and other properties of foods, in part by binding water. An experiment studied the water-binding of various carrageenan gums in gel systems under various conditions.
suppose that x2 follows a chi-square distribution with 19 degrees of freedom. compute px2 lessthanorequalto 20. round
Two events are mutually exclusive: If their intersection is 1, If they have no sample points in common.
A recent national survey found that high school students watched an average (mean) of 7.5 DVDs per month with a population standard deviation of .60.
For the past 20 years, the high temperature on April 15th has averaged (j = 62 degrees with a standard deviation of a = 8. Last year, the high temperature was 66 degrees.
relationship between GRE total scores and GPAs
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