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Consider a single-server queue with Poisson arrivals and exponential service times having the following variation: Whenever a service is completed a departure occurs only with probability α. With probability 1 - α the customer, instead of leaving, joins the end of the queue. Note that a customer may be serviced more than once.
(a) Set up the balance equations and solve for the steady-state probabilities, stating conditions for it to exist.
(b) Find the expected waiting time of a customer from the time he arrives until he enters service for the ?rst time.
(c) What is the probability that a customer enters service exactly n times, n = 1, 2, .. .?
(d) What is the expected amount of time that a customer spends in service (which does not include the time he spends waiting in line)?
Given below is the rate of return for one year (reported in percent) for the sample of 12 mutual funds. Using .05 significance level is it sensible to conclude that mean rate of return is more than 4.50 percent?
The benefits office wants to investigate whether a relationship exists between the level of an employee and their interest in a 401k plan. Using the above data, conduct a chi-square analysis and respond to the following question
you want to give a bonus to the top 5 of your sales people and extra special attention to the bottom 25. average sales
At the conclusion of the instructional period, a reading test gave results y1 = 74, y2 = 71, s1 = 9, and s2 = 10. What is the attained signi?cance level if you wish to see if there is evidence of a real difference between the two population means?..
You're operating a business in very competitive market. You're not yet the dominant player, but you have invested heavily in marketing and product development and it has paid off with a steady growth rate of 10%.
A statistically significant result occurs when the value of the test statistic falls in the rejection region. A result has practical significance when it is statistically significant
The 90 percent confidence interval for the population mean is to (Round your answers to 3 decimal places.) Would it be reasonable to conclude that the population mean is 22 eggs? What about 24 eggs?
Explain the difference between testing a single mean and testing the difference between two means. What two assumptions must be met when one is using z test to test differences between two means?
Compute the optimal production quantities for the company?
in town of 500 people 285 read hindu and 212 read indian express and 127read times of india 20 read hindu and times of
if the correlation between x and y is r 0.00 then sp 0 and the regression equation is y x 0y x mxy 0 mxy 0
The mean salary for engineers with less than 5 years' experience is $60,000 with a standard deviation of $5,000. Compute the z values for both Rob and Rachel.
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