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1. Two players match pennies and have between them a total of 5 pennies. If at any time one player has all of the pennies, to keep the game going, he gives one back to the other player and the game will continue. Show that this game can be formulated as an ergodic chain. Study this chain using the programErgodicChain.
2. Calculate the reverse transition matrix for the Land of Oz example (Exam- ple 11.1). Is this chain reversible?
3. Give an example of a three-state ergodic Markov chain that is not reversible.
4. Let P be the transition matrix of an ergodic Markov chain and P∗ the reverse transition matrix. Show that they have the same fixed probability vector w.
Differentiate between mean, median, and mode. Interpret distribution shapes, especially with respect to skewness and outliers.
if the probability that a tourist visiting the grand canyon will be bitten by a rattlesnake is .00002 us the poisson
The population mean is greater than 200 and the sample mean is 215, we can say that the claim is true even without a formal test. I this true or false and why?
a survey of 77 freshman business students at a large university produced the following results 25 of the students read
If 8 kids within this age group who use the Internet are randomly chosen, what is the probability that 2 of them do their schoolwork on line? What is the probability that no more than 5 of them do their schoolwork on line?
Assume each lifetime is independent. Round your answer to four decimal places (e.g. 98.7654). What is the probability that the lathe will operate at least seven years?
Evette has 41 1/2ft. of string. She wants to cut it into pieces 3 3/4ft. long. How many pieces of string will she have? how much string remains, if any?
a. what is the final task after completing the analysis of significant results?b. why is the size effect useful at this
to give a 99.9 confidence interval for a population mean ? you would use the critical valuea.z 2.576.b.z 1.960.c.z
The applicants require to take the university examination for admission in engineering collage. Scores on the university are roughly normally distributed with a mean of 530 and a standard deviation of 115.
suppose that a flaw in a certain computer chip installed in computers was discovered that could result in a wrong
A manufacturer of car batteries claims that his batteries will last, on average, 3 years with a variance of 1 year. If 5 of these batteries have lifetimes of 1.9, 2.4, 3.0, 3.5, and 4.2 years
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