A company that produces passenger cars reviews the annual sales andclassifies it in one of 2 states: 0 (unsuccessful, sales are low) and 1 (successful, sales arehigh). The marketing manager then decides on whether or not to advertise this car tofurther promote the sales. The “no advertisement" decision is label as k =1 and the"advertisement" decision is k = 2. Past data indicates that that the transition probabilitiesfor each decision is given below:0.70.6 0.4) P,(2) = [2 08Moreover, the annual "profit" matrix if decision k is taken when the state is i is estimatedas9--3°Cik3025.The marketing manager wants to find the optimal policy in order to maximize the averageprofit per year.a)at all in any state.What is the average profit per year if the manager chooses not to advertiseb)optimal policy (do not solve it),Determine the primal linear programming formulation in order to find thec)that the initial policy is not to advertise at all in any state.Perform only 1 iteration of the policy improvement algorithm assuming

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Answered: A company that produces passenger cars…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Suppose the observational units in a study are the patients arriving at an emergency room on a given day, 11 Nov 2019. For the following indicate whether it can legitimately be considered a variable or not: Whether or not men have to wait longer than women yes no
The two-way table of row relative freguencies below shows the results of a survey about food preference for pets. Pets and Food Preference Prefer Dry Food Prefer Wet Food Total Dog 0.31 0.69 1.00 Cat 0.30 0.70 1.00 Based on the row relative frequencies in the table abovw, which statement is true? A. There is an association between type of pet and food preference because the row relative frequencies are similar fo dog and cat rows. B. There is an association between type of pet and food preference because the row relative frequencies are not similar for the dog and cat rows. C. There is not an association between type of pet ands food preference because the row relative frequencies are similar for the dog and cat rows. D. There is not an association between type of pet and food preference because the row relative frequencies are not similar for the dog and cat rows.
Answers must be in 4 decimals 1. Bulsu plans to enforce speed limits using radar traps at 4 different locations within the campus. The radar traps at each of the locations L1, L2, L3, and L4 are operated 40%, 30%, 30%, and 20% of the time, and a person who is speeding on his way to work has probabilities of 0.2, 0.1, 0.5, and 0.2, respectively, of passing through these locations. If the person received a speeding ticket on his way to work, what is the probability that he passed through the radar trap located at L2? 2. A drug for the relief of asthma can be purchased from 5 different manufacturers in liquid, tablet, or capsule form, all of which come in regular and extra strength. How many different ways can a doctor prescribe the drug for a patient suffering from asthma?
4. From 2007 to 2016, a different intervention each year has been given to promote community organization membership. Another indicator of the dynamics of WEEL is membership. The household survey respondents were also asked of the year that they became a member of any organization. Is the decision to become a member of the organization been equally likely across interventions? In case you want to replicate the iven results from R Commander, the collected data can be accessed in the householdsurvey worksheet. Write a brief narrative about the analysis (see R Commander Output #13) using these guide questions: a. What is the set of hypotheses to answer the objectives of the problem? b. What is the appropriate test procedure to use? c. Is there evidence that the membership in the organization is not equally likely across interventions (years)? d. Using the estimated proportions, which year recorded the greatest percentage of membership?
7) The following results are from data that were collected from a sample of Chicago Cubs baseball games. The dependent variable is ATTENDANCE, TEMP is a variable measuring the forecasted game-time temperature: WIN% is a variable measuring the winning percentage of the Cubs before the game is played, OPWIN% is a variable measuring the winning percentage of their opponent, WEEKEND is a dummy variable = 1 if the game is played on a weekend and = 0 if the game is played during a weekday, PROMOTION is a dummy variable = 1 if there is a promotion for the game (giving away something to those who attend the game) and = 0 if there is not a promotion, and WEEK*PROM is an interaction term equal to WEEKEND*PROMOTION. a) What is the predicted attendance if TEMP = 70, WIN% = 500, OPWIN% = 500, the game is played on a weekend and there is NO promotion? b) What is the predicted attendance if TEMP = 70, WIN% = 500, OPWIN% = 500, the game is played on a weekend and there is a promotion? c) Based on…
A national study conducted by a market research firm, evaluated the top technology companies and their reputations. The following shows how 10 technology companies ranked in reputation and how the companies ranked in percentage of respondents who said they would purchase the company's stock. A positive rank correlation is anticipated because it seems reasonable to expect that a company with a higher reputation would have the more desirable stock to purchase. Company Company A Company B Company C Company D Company E Company F Company G Company Hi Company I Company J Ho: Ps ≤0 Ha: Ps > 0 O Ho: P₂ > 0 H₂: Ps = 0 Reputation Stock Purchase O Ho: Ps+0 Ha: Ps = 0 1 O Ho: Ps 20 Ha: Ps <0 2 3 4 5 6 7 8 9 10 3 1 4 2 9 5 10 6 (a) Compute the rank correlation between reputation and stock purchase. (Round your answer to three decimal places.) 's = 0.709 ✓ (b) Test for a significant positive rank correlation. State the null and alternative hypotheses. Ho: P₂ = 0 Ha: Ps0 7 8 Find the value of the…
A warden is motivated to reduce to aggressive interactions between inmates that sometimes occur in common areas like the yard. He tasks you, the prison psychologist, to find out what can be done to reduce aggressive behavior. Having known the prisoners, you hypothesize that there must be a relation between aggressiveness and having something to keep oneself busy. You get 10 volunteer inmates and give them a scale of aggression and then ask how many hours a week on average they spend with a hobby.The data in z-scoresare: C. Your spouse is a teacher at a highschool. You convince them to run the same scales on some of their students and the r value is .42. At ?=.01is that significantly different than for the one for the inmates?
A particular cookie company has a double-feature box of cookies. These boxes come with two types of cookies; oatmeal raisin and chocolate-chip. However, the proportion of cookies of each type varies. A data analyst working for the company wonders if there is a tendency for the boxes to have more of one type of cookie than the other. In order to investigate, he selects 72 boxes of the double-feature oatmeal raisin/choc-chip cookies and counts the number of each type of cookie. He finds out that, in his sample of 72 boxes, the proportion of chocolate chip cookies is 0.22. What is the standard deviation of the sampling proportion for the proportion of chocolate chip cookies? Note: 1- Round your final answer to 3 decimal places. Enter your final answer with 3 decimal places. 2-If standard deviation cannot be calculated, standard error is created in its place. Your Answer: Answer
The purchase patterns for two brands of toothpaste can be expressed as aMarkov process with the following transition probabilities: Which brand appears to have the most loyal customers? Explain.
Students in a class like to secretly use online calculators in their quizzes. There are three such online calculators favoured amongst the students: WolframAlpha (WA), Symbolab (S), and GeoGebra (GG). A student's favourite calculator changes from quiz to quiz according to the following rules: If a student likes WA best, then it is has a 50% chance of remaining their favourite for the next quiz; 25% of becoming S for the next quiz; and 25% of becoming GG for the next quiz. If a student likes S best, then it has a 50% chance of becoming WA for the next quiz, and a 50% chance of becoming GG for the next quiz. If a student likes GG best, then it has a 33.3% chance of becoming any of the three calculators for the next quiz. For the first quiz, there are 120 who count WA as their favourite; 80 who count S as their favourite; and 50 who count GG as their favourite. What is true about the fourth quiz? Choose one of the following: 1. 115 students favour WA; 52 students favour S; and 83…
Mr Alsup asked the studentS in his third-and sixth-period English classes whether they had chosen a topic for thier writing assignment. he recorded the data in a two-way table, as shown below English class Yes No Total Third period 24 6 30 Sixth period 22 3 25 Total 46 9 55 if jannette in in mr alsup sixth-period english class what is the probablity that she has not chosen a topic for her writing assignment? a- 3% b- 5% c- 12% d-14%
Answers must be in 4 decimals |1. Ben plans to enforce speed limits using radar traps at 4 different locations within the campus. The radar traps at each of the locations L1, L2, L3, and L4 are operated 40%, 30%, 30%, and 20% of the time, and if a person who is speeding on his way to work has probabilities of 0.2, 0.1, 0.5, and 0.2, respectively, of passing through these locations, what is the probability that he will not receive a speeding ticket? 2. Barangay Scout Fernandez has one fire truck and one ambulance available for emergencies. The probability that the fire truck is available when needed is 0.95, and the probability that the ambulance is available when called is 0.90. in the event that there is a fire in the barangay, find the probability that both the ambulance and the fire truck will be available.

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