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There are two machines, one of which is used as a spare. A working machine will function for an exponential time with rate λ and will then fail. Upon failure, it is immediately replaced by the other machine if that one is in working order, and it goes to the repair facility. The repair facility consists of a single person who takes an exponential time with rate μ to repair a failed machine. At the repair facility, the newly failed machine enters service if the repairperson is free. If the repairperson is busy, it waits until the other machine is ?xed; at that time, the newly repaired machine is put in service and repair begins on the other one. Starting with both machines in working condition, ?nd
(a) the expected value and
(b) the variance of the time until both are in the repair facility.
(c) In the long run, what proportion of time is there a working machine?
Suppose that a certain college class contains 45 students. Of these, 26 are sophomores, 25 are chemistry majors, and 7 are neither. What is the probability that the student is both a sophomore and a chemistry major?
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N=120, population standard deviation is (known) 5, alpha =.05, standard error of the mean (sigma of xbar)= .46, h0 is rejected if xbar
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A random sample of n = 4 scores is selected from a population with µ = 80 and σ = 20. On average, how much difference would you expect between the sample mean and the population mean?
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Use normal approximation to determine probability that x = 2. Illustrate all work.
Which of the following is true regarding ANOVA?
lifetimes of computer memory chips have gamma distribution with mean mu4 years and variance sigma2163 years. what is
Construct a 99% confidence interval on the population mean height of all 1-year-old pine seedlings. What are the confidence limits? What statement can be made about the population mean height using the confidence interval?
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