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1. Modify the program ErgodicChain so that you can compute the basic quan- tities for the queueing example of Exercise 11.3.20. Interpret the mean recur- rence time for state 0.
2. Consider a random walk on a circle of circumference n. The walker takes one unit step clockwise with probability p and one unit counterclockwise with probability q = 1 - p. Modify the program ErgodicChain to allow you to input n and p and compute the basic quantities for this chain.
(a) For which values of n is this chain regular? ergodic?
(b) What is the limiting vector w?
(c) Find the mean first passage matrix for n = 5 and p = .5. Verify that mij = d(n - d), where d is the clockwise distance from i to j.
a peony plant with red petals was crossed with another plant having streaky petals. a geneticist states that 75 of the
The rejection region for a two-tail test that uses the standard normal distribution is that area under the distribution lying
Use a t test to test the claim about the population mean u at the given level of signifiance a using the given sample statistics. For each claim, assume the population is normally distributed.
For the statement: The mean amount of Pepsi in cans is at least 12 oz. Express the null hypothesis and the alternative hypothesis in symbolic form.
Given the following ordered data pairs (x, y), compute the value of the linear correlation coefficient r: (2,6) (3,0) (5,15) (5,5) (10,2).
A four-year financial project is forecast to have net cash inflows of $20,000; $25,000; $30,000; and $50,000 in the next four years. It will cost $75,000 to implement the project
this years dream of a lifetime lottery sold 50000 tickets and gave away 5000 prizes including one grand prize. what is
q1. suppose that new international students arrive in london according to a poisson process of rate lambda 2 per day.a
What is the probability that a single randomly selected juror from Hidalgo County is Mexican-American? Explain briefly. What is the probability a single randomly selected juror is not Mexican-American? Explain briefly.
an urn contains six chips numbered 1 through 6. two are chosen at random and their numbers are added together. what
Using the file below, calculate the variance and standard deviation of Age, LOS, and Charges by using the formula. DO NOT USE FUNCTION for this problem.
SOB's systolic blood pressure is a random variable with a mean of 145 mmHG and a standard deviation of 20mmHG. If the SOB's blood pressure is taken at a randomly chosen moment
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