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Suppose that the times between the arrivals of consecutive customers in a certain queueing system are independent random variables uniformly distributed over the interval (0,1). The service time is exponentially distributed, with parameter μ. Finally, the (only) server is able to serve all the customers at once, so that there is no waiting. Calculate the limiting probability that the server is busy.
Indication. Use the results on renewal processes.
one concern in the evaluation of research results is that the subjects in one treatment condition may be substantially
apply the classical runge-kutta method to solve the following initial value problem yyx2 given y00 and the step size
She knows that 60% of the minerals have mass less than a certain amount m, and needs to select a random sample of n = 16 specimens for an experiment. With what probability will their average mass be less than the same amount m? (Hint: Calculate th..
68 of these drivers were wearing seat belts. We wish to find if these data give good reason to conclude that more than half of Hispanic female drivers in Boston wear seat belts.
Is there evidence that the waiting time at this particular restaurant is less than 3.7 minutes? Use a 1% level of significance. What is your conclusion?
the number of spam emails received each day follows a poisson distribution with a mean of 50. approximate the following
Find the probability that a randomly selected student spends between eighty and ninety percent of the time on the test. Find the expected value of X. E(X)
Assume that you see a commercial marketing a new arthritis medication during the evening news. Can you predict that someone will feel relief of their symptoms based on what you see?
while writing an article on the high cost of college education a reporter took a random sample of the cost of new
What is the probability of no mutant ability rounding to 3 decimal places - what is the probability of being bitten by a flea rounding to 3 decimal places?
Consider a Markov chain with states 0, 1, 2, 3, 4. Suppose P0,4 = 1; and suppose that when the chain is in state i, i > 0, the next state is equally likely to be any of the states 0, 1, ... , i - 1. Find the limiting probabilities of this Markov c..
How to determine the probability that a randomly selected player bats over 0.300? How to determine the probability that a team of 25 players will have a mean above 0.275?
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