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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 program ErgodicChain.
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.
Construct a relative frequency distribution for the weights of regular Coke by starting the first class at 0.7900 lb. and use a class width of 0.0050 lb.
deliverable length 2 - 3 pages in ms wordmary smith is the manager of market intelligence for acme automotive
use the frequency distribution table below showing a sample data set for 10 students on a test with a maximum score of
Estimate the population mean
Suppose that the arterial diastolic blood pressure readings in a population follow a normal probability distribution with mean 80 mm Hg and standard deviation 6.2 mm Hg.
At the .01 significance level, is there a difference in the mean number of times men and women order take-out dinners in a month? What is the p-value?
suppose that you are a researcher testing a new drug that might cure aids. in making a decision about whether to
Using Chebyshev's theorem, what do we know about the percentage of women with heights that are within 2 standard deviations of the mean? What are the minimun and maximun height thats are within 2 standard deviation of the mean
A new restaurant with 123 seats is being planned. Studies show that 57% of the customers demand a smoke free area. How many seats sould be in the non-smoking area in order to be very sure (mean+3StandardDeviation) of having enough seating there?
In a city, 65% of people drink coffee, 50% drink tea, and 25% both. What is the probability that a person chosen at random will drink at least one of coffee or tea? Will drink neither?
The mean amount purchased by a typical customer at Churchill's Grocery Store is $23.50 with a standard deviation of $5.00. Assume the distribution of amounts purchased follows the normal distribution. For a sample of 50 customers, answer the follo..
The weights of adult male beagles are normally distributed with a mean of 25 pounds and a standard deviation of 3 pounds. A beagle is randomly selected. Find the probability that the beagle's weight is less than 23 pounds.
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