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Question: Markov Chains with Reward. You might consider your automobile and its random failures to be a Markov chain. It makes monthly transitions between the states "running well" and "not running well." When it is not running well it must be taken to a garage to be repaved, at a cost of $50. It is possible to improve the Iikelihood that the automobile will continue to run well by having monthly service at a cost of $10. Depending on your policy your automobile transitions will be governed by either of two Markov chains, defined by
(a) For each of the two policies, what is the equilibrium distribution of states?
(b) In equilibrium, what is the average monthly cost of each of the two policies?
Formulate and list the linear program for this problem. Report your production decision and its dereived revenue.
One of the design requirements for the wheelchair states that the motor must be able to supply 40 Nm of torque at 100 rpm. Determine whether this particular motor has the power to meet that requirement.
The following table contains the number of consumer complaints received in a Publix market in Hollywood, Florida.
If the ambient temperature is 25°C, determine how long it will take for a system with a refrigeration capacity of 8 kW to precool this truck.
Find all Laurent expansions centered at i of the function f(z) = 1/z2-z. For each expansion, indicate the largest open set on which it converges
Discuss how you would proceed if you had to determine to introduce a new product or not. Include the appropriate statistical testing.
Question 3: The null hypothesis for the test of independence states that no correlation exists between the variables.
1. In a production run of 300 units, there are exactly 20 defective items and 280 good items. (a) What is the probability that a randomly selected item is defective?
In a survey conducted by the Gallup Organization, respondents were asked. "What is your favorite sport to watch?"
Formulate a model to assign all students to schools, minimizing total distance. Now let Sikg = the number of students in neighborhood i of race k and grade g; ak = the maximum percent of racial group.
2. Draw the complex spectrum (both magnitude and phase) for the following signals:
A person must score in the upper 2% of the population on an IQ test to qualify for membership in Mensa, the international high- IQ society.
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