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Let {X1 (t), t ≥ 0} and {X2 (t), t ≥ 0} be independent two-state continuous-time Markov Chains on the state's 0 and 1 having the same generator matrix
Define Y(t) = X1 (t) + X2(t) at any time t.
Argue that {Y(t), t ≥ 0} is a continuous-time Markov Chain on the states {0, 1, 2} and determine its generator matrix.
Let G be a group (finite or infinite) and let a and b in G. Let o(a) represent the order of a. Suppose G is abelian and both a and b are of finite order. Show that ab is of finite order and o(ab) divides o(a)o(b).
A printed poster is to have a total area of 750 square inches with top and bottom margins of 6 inches and side margins of 2 inches. What should be the dimensions of the poster so that the printed area be as large as possible?
an archaeological sample has only 25 of c-14 as much as in a living sample.knowing that the half-life of c-14 is 5800
How do you think the inclusion of household production would affect the measurement of economic activity in developed versus developing countries?
Suppose that a telemarketer uses random-digit dialing equipment to call three residential telephone numbers at random. There is a 20% chance of reaching a live person with each call, and the calls are independent. (i) What is the probability that ..
A ball is thrown vertically upward with an initial velocity of 48 feet per second. If the ball started its flight at a height of 8 feet, then its height s at time t can be determined by: s(t)=-16t squared +48t+8.
1. The length of a rectangle is increasing at a rate of7cm/s and its width is increasing at a rate of8cm/s. When the length is15cm and the width is9cm, how fast is the area of the rectangle increasing?
A geometric progression has first term log_2 27 and common ratio log_2 y, find the set of values of y for which the geometric progression has a sum to infinity.
Find the probability of random co-incidence, if the probability to get a certain value in both studies was the same, I would expect to have (125/1389)*38=3.41973 data-points with a larger value than the largest value in my study
A researcher expects a treatment to produce an increase in the population mean. The treatment is evaluated using a one tailed hypothesis test, and the test produces z = +1.85. Based on this result what is the correct statistical decision?
leading economic indictators: the value of the conference board index of 10 economic undicatators in the U.S could be approximately by the following function of time t in months since the end of december 2002.
Why might a random sample not be a representative sample of the study population?
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