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1. A box contains two balls, either of which can be red or yellow. At each stage, a ball is chosen at random and replaced with a ball of the opposite colour. Let Xn be the number of red balls in the box at time n. Find the transition matrix.
2. (Random walk with absorbing barriers) Consider a random walk on four consecutive points 1, 2, 3, 4 on a line. Starting at either 2 or 3, the process moves right with probability 2/3 or left with probability 1/3. Whenever the process gets to either 1 or 4, it remains there forever. Classify the four states as to recurrent or transitive, and for each pair (i, j) of transitive states find the expected number of times the process will be in j starting from state i.
What are precision and accuracy?
The quality control engineer for a furniture manufacturer is interested in the mean amount of force necessary to produce cracks in stressed oak furniture.
in a metal fabrication process metal rods are produced to a specified target length of 15 feet. suppose that the
A senior accounting major at Midsouth State University has job offers from four CPA firms. To explore the offers further, she asked a sample of recent trainees how many months each worked for the firm before receiving a raise in salary.
a manufacturer of disk drives for notebook computers wants a mtbf of at least 50000 hours. recent test results for 15
Assume that the population of hours worked per week by college graduates employed full-time is normally distributed with mean . Can we conclude that is greater than 40 hours? Use the .01 level of significance.
our bodies have a natural electrical field that is known to help wounds heal. does changing the field strength slow
What do high and low values of kurtosis imply for the shape of a frequency distribution? Draw a diagram to illustrate your answer.
the following probability distributions of job satisfaction scores for a sample of information systems is senior
Construct a 90 percent confidence interval for the proportion of all kernels that would not pop.
The National Park Service has started charging a user fee to park at selected trailheads and crosscountry ski lots. Some users object to this fee, claiming they already pay taxes for these areas. The agency has decided to randomly question selecte..
Given the following sample information, test the hypothesis that the treatment means are equal at the .05 significance level.
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