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A group of m customers frequents a single-server station in the following manner. When a customer arrives, he or she either enters service if the server is free or joins the queue otherwise. Upon completing service the customer departs the system, but then returns after an exponential time with rate θ. All service times are exponentially distributed with rate μ.
(a) Find the average rate at which customers enter the station.
(b) Find the average time that a customer spends in the station per visit.
mean micro of 250 screws and a standard deviation ? of 8.30.find the probability that production will go below 238
Assume each newborn baby has a probability of approximately 0.53of being female and 0.47of being male. For a family with four children, let X equals=number of children who are girls. a. Identify the three conditions that must be satisfied for X to..
Formulate the null and alternative hypothesis to test the claim that one-litre cartons of milk are being underfilled. Conduct a hypothesis test for a single mean using α = 0.05.
a fast food outlet claims that the mean waiting time in line is less than 3.7 minutes. a random sample of 20 customers
suppose that x is a random variable with moment generating function mxs and characteristic function cx s. let y ax b
given the heights of women are normally distributed with a mean of 63.6 inches and a standard deviation of 2.5 inches.
What is the probability that a simple random sample of auto insurance policies will have a sample mean within $25 of the population mean for each of the following sample sizes: 30, 50, 100, and 400.
birthweights at a local hospital have a normal distribution with a mean of 110 oz. and a standard deviation of 15 oz.
How can you tell for each of these? What could be another set of independent variables, if any, that could be added to better predict this relationship?
If there are 5 choices for a question and there is a 50% chance that the student knows the answer, what is the probability that the student knew the answer to a question he correctly answered?
Define the sample space S. Give all possible values of X. Use the table to express the probability mass function P(X=x).
a study of 35 browns gerbils showed that their average weight was 4.7 ounces. the standard deviation of the population
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