Real Cheap Car Rental Agency operates agencies in two cities, city 1 andcity 2. The fractions of the number of cars rented in one city and returnedin the same city or to the other city are given in the following transitionmatrix:City at whichCar is returned21City at which car is rented ! [0.65 0.35]2 l0.60 0.401What is the probability that a car rented will be returned to each cityafter one day? In two days? In three days?

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Answered: Real Cheap Car Rental Agency operates…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Based on a survey, assume that 33% of consumers are comfortable having drones deliver their purchases. Suppose we want to find the probability that when six consumers are randomly selected, exactly three of them are comfortable with the drones. What is wrong with using the multiplication rule to find the probability of getting three consumers comfortable with drones followed by three consumers not comfortable, as in this calculation: (0.33)(0.33)(0.33)(0.67)(0.67)(0.67) = 0.0108? Choose the correct answer below. A. The event that a consumer is comfortable with drones is not mutually exclusive with the event that a consumer is not comfortable with drones. B. The probability of the second consumer being comfortable with drones cannot be treated as being independent of the probability of the first consumer being comfortable with drones. O C. There are other arrangements consisting of three consumers who are comfortable and three who are not. The probabilities corresponding to those other…
In the basic science unit of the university, the following results were obtained from 350 students: 200 students passed the differential calculus course 160 passed physics course 187 passed probability-statistics course 112 approved differential calculus and probability-statistics 120 passed differential calculus and physics 95 passed physics and probability-statistics 80 passed the three courses. What is the probability of those who passed only one course? a. 0.051 b. 0.1714 c. 0.38 d. 0.0714
In a town, there are three bridges: Bridge A, Bridge B, and Bridge C. On any given day, the probability of each bridge being open for passage is as follows: P(A) = 0.4, P(B) = 0.3, and P(C) = 0.5. If a resident needs to cross all three bridges in succession, what is the probability of successfully crossing all three bridges without encountering any closures?
Your probability professor has a tabby cat who sleeps 34% of the time and seems to respond to stimuli more or less randomly. If a human pets her when she’s awake, she will request more petting 8% of the time, food 38% of the time, and a game of fetch the rest of the time. If a human pets her when she’s asleep, she will request more petting 33% of the time, food 41% of the time, and a game of fetch the rest of the time. (You can assume that the humans don’t pet her disproportionally often when she’s awake.) • If the cat requests food when petted, what is the probability that she was asleep? • If the cat requests a game of fetch when petted, what is the probability that she was not asleep?
A poker player has either good luck or bad luck each time she plays poker. She notices that if she has good luck one time, then she has good luck the next time with probability 0.2 and if she has bad luck one time, then she has good luck the next time with probability 0.4. What fraction of the time in the long run does the poker player have good luck?
Factories A, B and C produce computers. Factory A produces 4 times as many computers as factory C, and factory B produces 6 times as many computers as factory C. The probability that a computer produced by factory A is defective is 0.038, the probability that a computer produced by factory B is defective is 0.035, and the probability that a computer produced by factory C is defective is 0.047. A computer is selected at random and it is found to be defective. What is the probability it came from factory B? Answer:
If you have a sample of 100 patients at a hospital and 20 of them have the flu, what is the probability Of randomly selecting 3 patients in a row who have the flue?
If 3 % of the electric bulbs manufactures by a company are defective, find the probability that in a sample of 100 bulbs: a. 0 bulbs will be defective b. 1 bulbs will be defective c. 2 bulbs will be defective d. 3 bulbs will be defective e. 5 bulbs will be defective
A man wants to adopt a puppy from an animal shelter. At the shelter, he finds eight puppies that he likes, a male and female puppy from each of the four breeds of terrier, briard, dachshund, and maltese. The puppies are each so cute that he cannot make up his mind, so he decides to pick the dog randomly. Find the probability that the man chooses a male puppy. The probability of choosing a male puppy is (Type a simplified fraction.) ...

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