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1. Suppose that when both machines are down in Exercise 20 a second repairperson is called in to work on the newly failed one. Suppose all repair times remain exponential with rate μ. Now ?nd the proportion of time at least one machine is working, and compare your answer with the one obtained in Exercise 20.
2. Customers arrive at a single-server queue in accordance with a Poisson process having rate λ. However, an arrival that ?nds n customers already in the system will only join the system with probability 1/(n + 1). That is, with probability n/(n + 1) such an arrival will not join the system. Show that the limiting distribution of the number of customers in the system is Poisson with mean λ/μ.
he next 20%, a B; the next 40%, a C; the next 21%, a D; and the bottom 10%, an F. What average must you exceed to receive a grade of C or better?
Prove it is equivalent to AC that in every partially ordered set, every chain is included in a maximal chain.
Find that 116 plan to renew their subscriptions. Use (a=0.01). p = the population of subscribers to Golf Illustrated who renew. Calculate the p-value.
The company believes that it averages about the same weight per bag in each of two production lines. To test this idea, they will perform a hypothesis test to compare the two lines at the alpha level of 0.05. State the null and alternative hypothe..
Create the estimated regression equation by calculating the values of b 0 and b 1
Tonometry is a common form of glaucoma screening, whereas, for example, an eye is classified as positive if it has an intraocular pressure of 21 mmHg or higher at a single reading. Given the data shown in Table E1.28, calculate the sensitivity and..
We wish to compare the average sales in two shops, to see if the population mean of the first one is higher than the second one. One shop had 100 sales averaging $94, with a standard deviation of $40.
According to the patient's history and physical examination. What are the chances of herniation if the MRI is positive?
What is the chance that stock will fall by more than 15% next month? What extra assumption are you making when replying this question?
Historically, demand has been for 50, 100, or 150 units each week, so the company makes one of those run sizes. In the past, the manager of the department has made 100 units per week for regular production. A: Prepare a payoff table showing profit..
A point P is chosen uniformly in an n-dimensional sphere of radius 1. Next, a point Q is chosen uniformly within the concentric sphere, centered at the origin, going through P . Let X and Y be the distances of P and Q, respectively, to the common ..
The manufacturer of a nationally known "lite beer" claims that the approval rating for it's product is at least 85%. A local soft drink manufacturer has retained a marketing agency to test the "lite beer".
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