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Question: The people staffing the ticket booth at an aquarium are able to distribute tickets and brochures to 440 patrons every hour, according to an exponential distribution. On a typical day, an average of 352 people arrive every hour to gain entrance to the aquarium. The arrivals have been found to follow a Poisson distribution. The aquarium's manager wants to make the arrival process as convenient as possible for the patrons and so wishes to examine several queue operating characteristics.
(a) Find the average number of patrons waiting in line to purchase tickets.
(b) What percentage of the time is the ticket window busy?
(c) What is the average time that a visitor to the aquarium spends in the system?
(d) What is the average time spent waiting in line to get to the ticket window?
(e) What is the probability that there are more than two people in the system? More than three people? (f) What is the probability that there are more than two people in line? More than three people?
If in fact the true mean score of all students taking the preparatory course is 522, which of the following statements is true about our hypothesis test?
1. (a) Find the moment-generating function for a gamma probability distribution with parameter α > 0 and β > 0. [Hint: In the integral representation of E(etX), change the variable t to u = (1 - βt)x/β, with (1 - βt) > 0.] (b) Using the mgf of a ..
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If the appropriate yield for this bond is 12% p.a. compounding semi-annually, how much can the company raise?
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Fourty-five percent of households say they would feel secure if they had $50,000 in savings. You randomly select 8 households and ask them if they would feel secure if they had $50,000 in savings. Find the probability that the number that say they..
summarizing the relationship between life expectancy and Internet use for European countries with an emphasis on how the European countries
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