6. Suppose in small town there are three places to eat, one Chinese restaurant, one Mexican restaurant, and apizza place. Everyone in town eats dinner in one of these places or has dinner at home. Assume that 20% ofthose who eat in Chinese restaurant go to Mexican, 20% eat at home, and 30% go to pizza place next time.From those who eat in Mexican restaurant, 10% go to pizza place, 25% go to Chinese restaurant, and 25% eatsat home next time. From those who eat at pizza place 30% eat at home, 30% eat at Chinese and 10% eat atMexican restaurant next time. Those who eat at home 20% go to Chinese, 25% go to Mexican place, and 30% topizza place next time.(a) Construct the (one-step) transition matrix?(b) Does this Markov chain have steady-state?

The data for transition probbaility from one of all the four given states (chinese, maxican, hone…

Answered: Suppose in small town there are three…

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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In a certain class of 25 students, 12% received A’s, 30% received B’s, 42% received C’s, and 12% received D’s. How many students failed the class?
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A large retail lawn care dealer currently provides a 2-year warranty on all lawn mowers sold at its stores. A new employee suggested that the dealer could save money by just not offering the warranty. To evaluate this suggestion, the dealer randomly decides whether or not to offer the warranty to the next 50 customers who enter the store and express an interest in purchasing a lawnmower. Out of the 25 customers offered the warranty, 10 purchased a mower as compared to 4 of 25 not offered the warranty. a. Place a 95% confidence interval on 7₁ - 72, the difference in the proportions of customers purchasing lawnmowers with and without the warranty. b. Test the research hypothesis that offering the warranty will increase the propor- tion of customers who will purchase a mower. Use a = .05. c. Are the conditions for using a large-sample test to answer the question in part (b) satisfied? If not, apply an exact procedure,
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A car wash has three different types of washes: basic, classic, and ultimate. Based on records, 45% of customers get the basic wash, 35% get the classic wash, and 20% get the ultimate wash. Some customers also vacuum out their cars after the wash. The car wash records show that 10% of customers who get the basic wash, 25% of customers who get the classic wash, and 60% of customers who get the ultimate wash also vacuum their cars. The probabilities are displayed in the tree diagram.What is the probability that a randomly selected customer purchases the basic or classic car wash if they vacuum their car?A) 0.13B) 0.48C) 0.52D) 0.80

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