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Question: Web access pattern. Consider a web server that receives web access requests from a large number of users. We assume that the request arrival mechanism is characterized by the following simple model. We divide the time axis into contiguous segments of seconds, and is chosen sufficiently small that the probability of receiving more than one request is negligibly small. We also assume that the arrivals in different segments are statistically independent events. Let p be the probability that a randomly chosen segment interval observes an arrival of a request.
(a) Assume an observation interval of T = 5?, and let p = 0.2. What is the probability that at least two requests arrive during this observation interval?
(b) For any integer n = 1, 2, 3,..., find the probability that T = n? will be the observation interval required to see the first arrival.
(c) Suppose that you are informed that there are k successes in n Bernoulli trials. Obtain the conditional probability that any particular trial resulted in a success.
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in one particular race there are 7 people 3 of which are runners of the track coach. the race is so competitive that
A departmental store that wishes to examine whether it is losing or gaining customers draws a sample from its list of credit cardholders by selecting every tenth name.
Use the data in Problem 1 and develop a regression model to predict selling price based on the square footage and number of bedrooms. Use this to predict the selling price of a 2,000-square-foot house with 3 bedrooms.
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Jim McDonald, manager of the fast-food hamburger restaurant McBurger, realizes that providing fast service is a key to the success of the restaurant.
suppose the heights of sons and fathers has a correlation of 0.6 and both sons and fathers have an average height of 68
Explain why the factor levels must be randomly chosen in the randomeffects model to allow inference about an entire collection of treatments.
Construct a scatterplot and identify the mathematical model that best fits the given data. Assume that the model is to be used only for the scope of the given gata, and consider only linear, polynomial (degree 2) logarithmic, exponential, and powe..
What is the probability of a 'head' in a single toss of this coin? If the coin is tossed and a 'head' results, what is the probability that p is 3/4?
intel purchases electronic chips from a supplier whos chips are defective only 5 of the time. determine the sample size
The Charm City Fan Company manufactures two products: large fans and medium fans. Each large fan requires 3 hours of wiring and 2 hours of drilling. Each medium fan requires 2 hours of wiring and 1 hour of drilling. There are 480 hours of wiri..
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