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M balls are initially distributed among m urns. At each stage one of the balls is selected at random, taken from whichever urn it is in, and then placed, at random, in one of the other M - 1 urns. Consider the Markov chain whose state at any time is the vector (n1, ... , nm) where ni denotes the number of balls in urn i. Guess at the limiting probabilities for this Markov chain and then verify your guess and show at the same time that the Markov chain is time reversible.
1 a contractor has produced the first unit of a laser targeting device at a cost of 45k. historically their learning
Test the hypothesis that the median ?uoride level for this city is 0.90 against the alternative that the median is different from 0.9 at α = 0.01, using (a) the large sample sign test, and (b) the Wilcoxon signed rank test. Interpret the results.
Let An be an increasing sequence of σ-algebras whose union generates a σ-algebra S. Let µ and ν be probability measures on S such that ν is singular with respect to µ on S, but absolutely continuous with respect to µ on each
Find a 95% confidence interval for the mean µ of the population from which the men were selected.
How should he go about taking samples to gather data for testing the hypotheses?
Compute mean yearly value using average gas prices by month found in "Final Project Data Set." Using years as your x-axis and annual mean as your y-axis, design scatterplot and linear regression line.
the capital asset pricing model is a financial model that assumes returns on a portfolio are normally distributed.
toss a fair die twice and record the numbers. find the probability that the first number is 3 given that the sum of two
Scores by women on the SAT-I test are normally distributed with a mean score of 998 and a standard deviation of 202. scores by women on the ACT test are normally distributed with a mean of 20.9 and a standard deviation of 4.6 assume the two tests ..
a random sample of 12 men and 12 women were asked to report the number of hours they watched television on a wednesday
In addition, the cruise line has decided to plan for an additional 25% more meals than bookings. Formulate the appropriate linear program (Constraints and Objective Function only)
a newspaper reports that the governors approval rating stands at 69. the article adds that the poll is based on a
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