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Customers arrive according to a Poisson process with rate A outside a bank where there are two automated teller machines (ATM). The two ATMs are not identical. We estimate that 30% of the customers use only ATM no. 1, while 20% of the customers use only ATM no. 2. The other customers (50%) make use of either ATM indifferently. The service times at each ATM are independent exponential random variables with parameter μ. Finally, there is space for a single waiting customer. We define the states
(a) Write the balance equations of the system. Do not solve them.
(b) Calculate, in terms of the limiting probabilities,
(i) the variance of the number of customers who are waiting to use an ATM,
(ii) the average time that an arbitrary customer, who enters the system and wishes to use ATM no. 2, will spend in the system.
Twenty three percent of automobiles are not covered by insurance. On a particular weekend, 35 automobiles are involved in accident.
question a jar contains 1 red marble 3 yellow marbles and 2 blue marbles. a game consists of selecting a marble and
In a random sample of 328 florida public school employees, 231 were female. write a 95% confidence interval for the proportion of the population of florida public school employees that are female.
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In the spring of 2002, residents of the United States were quite worried about the possibility of further terrorists attacks. To gauge the public's sentiment on this topic, the Gallup Poll asked 1002 U.S.
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an advertisement for a popular weight loss clinic suggests that participants in its new diet program lose on average
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let x be the number of successes in seven independent trials of a binomial experiment in which the probability of
A new shopping mall is considering setting up an information desk manned by one employee. Based upon information obtained from similar information desks, it is believed that people will arrive at the desk at the rate of 15 per hour.
According to Bienayme-Chebyshev rule, what percentages of these funds are likely to be within ±2 standard deviation of mean?
Apply the large-sample approximation given in Comment 53 to the data in Table 8.9. Compare this approximation with the approximation based on (8.91) that was used in Example 8.6.
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