A wandering ghost travels between four regions of the island where it lives: Toronbo Shores, Koholint Prairie, Tabahl Wasteland, and Goponga Swamp. Itmoves each day according to a Markov chain as given in the diagram. (From a given region, each possible move is shown and is equally likely.)GopongaSwampKoholintPrairieTabah!WastelandToronboShoresWhat fraction of days does the ghost spend in each region, after much wandering?RegionToronbo ShoresKoholint PrairieTabahl WastelandGoponga SwampFraction of days spent there

2) Let A denotes Toronbo Shores , B denotes Koholint Prarie , C denotes Tabahi Wasteland and D…

Answered: A wandering ghost travels between four…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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A computer store sells three types of microcomputers, brand A, brand B, and brand C. Of the computers they sell, 65% are brand A, 30% are brand B, and 5% are brand C. They have found that 15% of the brand A computers, 10% of the brand B computers, and 5% of brand C computers are returned for service during the warranty period. If a computer is returned for service during the warranty period, what is the probability that it is a brand A computer? A brand B computer? A brand C computer?Question content area bottomPart 1The probability that it is a brand A computer is enter your response here.(Type a decimal. Round to three decimal places if needed.)Part 2The probability that it is a brand B computer is enter your response here. (Type a decimal. Round to three decimal places if needed.)Part 3The probability that it is a brand C computer is enter your response here.(Type a decimal. Round to three decimal places if needed.)
TOPIC: MARKOV CHAINS A housewife always uses one of three brands of detergent: "A", "B" or "C". Which one she buys depends inwhich of the three manufacturers is running a promotional campaign (with gifts such as combs, ornaments, etc.),etc.). Companies undertake such campaigns at random, regardless of whether or not competitors are running other campaigns at the same time.not running other campaigns at the same time. Brand "A" company runs a campaign ½ of the time, brand "B" runs a campaign 1/3 of the time, and brand "B" runs a campaign 1/3 of the time, and brand "C" runs a campaign 1/3 of the time.1/3 of the time, and "C" promotes 1/3 of the time. If the lady buys brand "A" on a certain occasion, the next time she will also buy brand "A".If she buys brand "A" on a certain occasion, the next time she will also buy brand "A", if your company is promoting or if neither of the other two is doing so.or she buys brand "B" if it is on promotion, but brand "A" is not, or she buys brand "C" if…
Show full answers and steps to part d) and e) using Markov Chain Theory. Please explain how you get to the answers without using excel, R or stata
a. What states are absorbing states? b. Interpret the transition probabilities for a sophomore. c. Compute the probabilities that a sophomore will graduate and thata sophomore will drop out. d. In an address to the incoming class of 600 freshmen, the dean asksthe students to look around the auditorium and realize that about 50%of the freshmen present today will not make it to graduation day. Does your Markov process analysis support the dean’s statement? Explain. e. Currently, the college has 600 freshmen, 520 sophomores, 460 juniors, and 420 seniors. What percentage of the 2000 students attending thecollege will eventually graduate?
The Tiger Sports Shop1 has hired you as an analyst to understand its market position with respect to Clemson merchandise. It is particularly concerned about its major competitor, Mr. Knickerbocker, and which Clemson-related store has the ‘lead’ market share. Recent history has suggested that which Clemson-related store has the ‘lead market share’ can be modeled as a Markov Chain using three states: TSS (Tiger Sports Shop), MK (Mr. Knickerbocker), and Other Company (OC). Data on the lead market share is taken monthly and you have constructed the following one-step transition probability matrix from past data in the picture. a) The current state of the lead market share in October is that Tiger Sports Shop is in the lead (i.e., the Markov Chain in October is TSS). Tiger Sports Shop is considering launching a new brand in February only if it has the lead market share in January. Determine the probability that TSS will launch this new brand. Please show any equations or matrices…
A car rental company has two locations. Each week, 80% of the cars rented at location A are returned to location A and the rest location B. Of the cars rented at location B, 30% are returned to location B by the end of the week and the rest to location A. a. Make a transition diagram for this process. b. Write the transition matrix T for this process. cIf 50% of the company's cars start this week at location A, and 50% at location B, find the proportion of cars that will be at each location one week later Label your answers. d. Write and solve a system of equations to find the stable distribution (correct to 3 decimal places) for this Markov process. Show all calculations and label the row operations.
TOPIC: MARKOV CHAINSA market research firm conducted a household survey regarding preferences for three brands of detergents.three brands of detergents. The survey was conducted by interviewing the same housewives at the beginning of two consecutive months.consecutive months. The results of the survey are as follows: Beginning of month 1: 200 respondents showed a preference for the "Ace" brand, 120 for the "Bold" brand, and 180 for the "Clean" brand.for the "Clean" brand. C) If the pattern of profit and loss does not change in the following months, how many housewives are estimated to prefer each brand at the end of month 2?
Consider a system of four flipped coins. (&) What s the probability that two land heads and the other two tails? (b) Label the four coins 1.2, 3, and 4. Make a chart that lists the various possible configurations that have two heads and two tails. Is the number of configurations on your chart
A computer store sells three types of microcomputers, brand A, brand B, and brand C. Of the computers they sell, 60% are brand A, 25% are brand B, and 15% are brand C. They have found that 20% of the brand A computers, 15% of the brand B computers, and 10% of brand C computers are returned for service during the warranty period. If a computer is returned for service during the warranty period, what is the probability that it is a brand A computer? A brand B computer? A brand C computer? The probability that it is a brand A computer is (Type a decimal. Round to three decimal places if needed.) The probability that it is a brand B computer is (Type a decimal. Round to three decimal places if needed.) The probability that it is a brand C computer is (Type a decimal. Round to three decimal places if needed.)
The main topic is Markov Chains:Students in Geology class never know what is going to happen in the class, as the teacher may: give them a pop quiz, take them to field practice, analyze the topic of the day, or lecture on a special topic.If one day there is a test, the next day there is always a field practice.If one day there is field practice, the next day there is no practice or test, but there is still a chance of the day's topic or special lecture.of the day or of the special lecture.If on a certain day the topic is tested, the probabilities for the next day are ¼ for the test, 1/6 for the topic and 1/3 for the lecture.and 1/3 for the lecture.If one day there is a lecture, the odds for the next day are ¼ for the test, 1/8 for the practice, 1/8 for the topic analysis and ½ for the lecture.for the analysis of the topic and ½ for the lecture.One of the students has calculated that they can expect quizzes 43/287 of the lecture days; field practice72/287 of the class days; topic…
solve using Markov Chain
A combo meal at Bayes' Burgers comes with fries, a burger, and a soda. The fries can be small, medium, or large, and the soda can be diet or regular. A fry cook makes the observation that 80% of the customers who choose the small fry in their combo choose a regular soda. While 60% of the customers who choose a large fry in their combo choose a diet soda. And 99% of customers who chąose the medium fry in their combo choose the regular soda. Assume 25% of customers choose a small fry in their combo, and 35% choose the large fry. If a customer chose the diet soda, what is the probability they chose the small fry?

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