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Suppose P = ? Pij ? is the transition probability matrix of an irreducible recurrent Markov chain {Xn}. Use the supermartingale convergence theorem (see Remark 5.1) to show that every nonnegative solution y={y(i)} to the system of inequalities , (MISSING SUMMATION INEQUALITY) for all i is constant. Hint: Paraphrase Example (a) of Section 6. Look at the picture attached for the entire question.
Suppose that a "skew" product of vectors in R2 is defined by (u,v)=u1v1-u2v2. Prove that (u,v)squared >equal too (u,u)(v,v). (NOTE; This is just the reverse of the Cauchy- Schwartz inequality for the ordinary dot product.)
The message is meant to be an array of length n, in which a symbol may be used more than once. Find the density of X and the CDF of X.
The mean PCB concentration for fish the lake exceeds 5 ppb
Suppose you just received a shipment of SIX televisions. THREE of the televisions are defective. If two televisions are randomly selected, compute the probability that both televisions work. What is the probability at least one does not work?
Mr Tan wanted to sell his lamp. If he sell it at a discount of 10%, he will make a profit of $215. If he sell it at a discount of 20%, he will loss $170. How much was his original selling price.
Find the derivative of, then do a sign graph of the first derivative, and classify the nature of any critical points... f(x)=xe^-4^x
Amy paid $58.18 for a pair of running shoes during a 15%-off sale. What was the regular price?
Then explain how the values of the slope affect the overall meaning of the equation.
Fifty-six dog biscuits are to be given to ten pets. Each pet is either a cat or a dog. Each dog is to be given six biscuits and each cat is to be given five biscuits. How many dogd are there?
(Round the number that you compute and use to the nearest whole number.) According to the model, what will the enrollment be in the year 2025?
What should be the size of each repayment if the loan is to be amortized at the end of the term? (Round your answer to the nearest cent.)
Write two expressions--one for labor and one for materials--that can be used to model the labor and materials constraints for the upcoming week.
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