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Step 1: Choose any Markov Chain with a 3x3 transition matrix that is irreducible and aperiodic. The reason it needs to be irreducible and aperiodic is because we are looking for a Markov Chain that converges. Calculate the stationary distribution of the Markov Chain by hand.
Step 2: Simulate the Markov Chain in Matlab. You can do as many iterations as you choose as long as it is large enough to determine if the Markov Chain converges. Discuss the results of the simulation. Note that the Markov Chain should converge because we specifically wanted to choose one that converges.
Step 3: Create a plot of the results in Matlab.
Please provide the Matlab code that you used and the Markov Chain you used to complete this task.
A bag of jelly belly candies contains the following colored jelly beans: red (10), blue (2), orange (5), brown (21), green (0), and yellow (18). Construct the probability distribution for x.
The accounting department at Weston Materials, Inc., national manufacturer of unattached garages, reports that it takes two construction workers mean of 32 hours and standard deviation of 2 hours to erect the Red Barn model.
When the purpose of sampling is to detect when a process becomes too variable the chart of choice will be a c-chart?
The data below are the numbers of hours of homework done as reported by 24 high school juniors for the last week in September 2006.
For population with mean of µ=60 and a standard deviation of s=24. Determine the z score corresponding to each of following samples.
A certain firm specializing in the manufacture and sale of free time clothing has 80 retail stores in Florida and 140 in California. With each state as a stratum, the firm wishes to estimate average sick-leave time per employee for the past year
The systolic blood pressure of a group of 18-year-old women is basically distributed with a mean of 120 mmHg and a standard deviation of 12 mmHg.
The American Automobile Association checks the prices of gasoline before many holiday weekends.
The dimension is supposed to be 224 mm and the variability of the manufacturing process is unknown. Is there evidence that the mean dimension is not 224 mm?
An experiment was conducted to compare the effectiveness of three training programs, A, B, and C, in training assemblers of a piece of electronic equipment.
A store has an average of 25 people arriving each minute to checkout and each person on the average require 4 minutes to be processed at the checkout. What is the minimum number of cashiers required?
Inspect table produced in question 2 above. Comment on relative sensitivity of minimum sample size to actual proportion and to desired half width.
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