CLO 2: Apply different methods to solve the linear systems of the form Ax=b in physicalproblem such as solving electric circuits, making nutritious diet plan and also in solvingvector differential equation of the form v = Av and eigen-value problemsQuestion No. 2:Part:c:The weather in Columbus is either good, indifferent or bad on any given day. If the weatheris good today, there is a 60% chance the weather will be good tomorrow, a 30% chance theweather will be indifferent, and a 10% chance the weather will be bad. If the weather isindifferent today, there will be 40% chance of being good and 30% chance of beingindifferent tomorrow. Finally if the weather is bad today, there will be 40% chance of beinggood and 50% chance of being indifferent tomorrow. Write down the Markov matrix for thissituation?

Given that: If the weather is good today, there is a 60⁒ chance the weather will be good tomorrow, a…

Answered: The weather in Columbus is either good,…

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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A city uses three pumps to carry water from a river to a reservoir. Pumps A and B are new, and have a probability of failing of 0.015 on any day. Pump C is older, and has a probability of failure of 0.08 on any day. Pumps A and B operate Monday-Friday. On Saturday, pumps A and C operate while pump B is serviced. On Sunday, pumps B and C operate while pump A is serviced. Answer the following questions, assuming that the pumps operate independently of one another, and independently from day to day. Determine the probability that pump A works on a day that it is in use. Find the probability that pumps A and B both fail on a day they are both in use. Compute the probability that at least one pump fails on any Sunday. Find the probability that pump A works, and C fails on any Saturday. Determine the probability that no pumps fail in a week.
In Franklin County, there are about 50,000 registered voters, of whom 15,000 are Democrats. A survey organization is about to take a simple random sample of 1,000 registered voters. There is about a 50-50 chance that the percentage of Democrats in the sample will be bigger than ?
An engineer decides to buy four new snow tires for his car. He finds that Retailer A is offering a special cash rebate, which depends on how much snow falls during the first winter. If this snowfall is less than 50% of the mean annual snowfall for his city, his rebate will bet 50% of the list price. If the snowfall that winter is more than 50% but less than 75% of the mean annual snowfall, his rebate will be 25% of the list price. If the snowfall is more than 75% of the mean annual snowfall, he will receive no rebate. The engineer finds from a reference book that the annual snowfall for his city has a mean of 80 cm and standard deviation of 20 cm and approximates a normal distribution. The list price for the brand and size of tires he wants is $80.00 per tire. The engineer checks other retailers and finds that Retailer B sells the same brand and size of tires with the same warranty for the same list price but offers a discount of 5% of the list price regardless of snowfall that…
At the beginning of the semester, a professor tells The professor informs the class that there will be a students that if they study for the tests, then there is a 55% chance they will get a B or higher on the tests. If test next week. What is the probability that a randomly selected student studied if they do not pass the test with a B or higher? they do not study, there is a 20% chance that they will get a B or higher on the tests. The professor knows from prior surveys that 60% of students study for the tests. The probabilities are displayed in the tree diagram. O 0.45 O 0.46 O 0.54 O 0.59 Gets B or 0.55 higher Studies for test Does not get B or higher 0.6 0.45 Random student Gets B or 0.20 04 Does not higher Mark this and return Save and Exit Next Subrnit DELL F3 F4- F5 F6 F7 F8 F9 F10 F11 F12 PriScr Inser %2$ 4. 8. R T Y 4 H K 近

A bag has 12 different-colored marbles: 4 green, 5 blue, 1 yellow, and 2 orange. You draw a marble from the bag. If you get an orange marble or yellow marble, you win a prize. Based on the scenario, answer the following question: Is it more likely that players will win or lose playing the game?
Last semester in a business fraternity, 30% of the members were on the Dean's List and 15% of the members were on academic probation. If being on the Dean's List and being on academic probation are mutually exclusive events, find the percent of members who were neither on the Dean's List nor on academic probation.
A local company is interested in supporting environmentally friendly initiatives such as carpooling among employees. The company surveyed all of the 200 employees at the downtown offices. Employees responded as to whether or not they own a car and to the location of the home where they live. The results are shown in the table below. If the person owns a car, he or she is more likely to live elsewhere in the city than to live in the downtown area in the city. If the person does not own a car, he or she is more likely to live outside the city than to live in the city (downtown area or elsewhere). The person is more likely to own a car if he or she lives in the city (downtown area or elsewhere) than if he or she lives outside the city. The person is more likely to live in the downtown area in the city than elsewhere in the city. The person is more likely to own a car than not to own a car.
John can take one of two highways, Interstate A and Interstate B, to get to work each day. The probability that there will be a traffic jam on Interstate A on a given day is 0.65, and the probability that there will be a traffic jam on Interstate B is 0.2. The probability that there will be a traffic jam on at least one of Interstate A or Interstate B is 0.8. Determine the probability that both Interstate A and B will be congested. 0.235 None in the list 0.050 0.062 0.765 Submit Answer Tries 0/3 Determine the probability that Interstate B is congested given that Interstate A is congested. 0.250 0.077 0.812 0.062 None in the list Submit Answer Tries 0/3 Determine the probability that there is a traffic jam on Interstate A given that at least one of the Interstates has a traffic jam. 0.062 None in the list 0.250 0.812 0.077
You are to submit 2 real life examples of statistical statements and state if they are biased or unbiased Example: A toothpaste advertisement states that 3 or 4 people prefer their product. This could be a biased survey, one that is not based on a random sample. They could have asked exactly 4 people about their product. An unbiased sample accurately represents the population. Each member of the population is equally to be chosen Example: A person wants to find out how many people prefer chocolate of vanilla ice cream. To get an unbiased sample, she would pick out a few of the ice cream shops in her town and survey people leaving the establishment.
For one month, 500 elementary students kept a daily record of the hours they spent watching television. The average number of hours per week spent watching television was 28. The researchers conducting the study also obtained report cards for each of the students. They found that the students who did well in school tended to spend less time watching television than those students who did poorly. Listed are several possible statements concerning the results of this research. Place a check by every statement that you agree with based on this study. a. Even though students who did well watched less television, this doesn't necessarily mean that watching television hurts school performance. b. One month is not a long enough period of time to estimate how many hours the students really spend watching television. c. The sample of 500 is too small to permit drawing conclusions about elementary students in general. d. I don't agree with any of these statements. e. If a student decreased the…
A lock consists of 3 dials, where each dial has 4 letters. What is the probability of guessing the right combination in one try? Kay has an 80% probability of making a free-throw in basketball, and each free-throw is independent. Kay gets to take 2 free-throws and must make both to win the game. What is the probability that Kay's team will win the game? Two owners of a cattle ranch, Jo and Val, want to find the average weight for the ranch’s 200 cows. Instead of weighing all of the cows: Jo weighs 25 cows and gets an average weight of 1,350 pounds (stdev 50) Val weighs 100 cows and gets an average weight of 1,420 pounds (stdev 50) What is Jo’s margin of error, rounded to the nearest whole number? (The formula is )
XYZ Construction Company has three loaders operating every day in a construction site. During any day, each loader that is operating at the beginning of the day has a 0.25 chance of breaking down. If a loader breaks down during the day, it is sent to a repair station and will be working (operational) two days after it breaks down. (Thus, if a loader breaks down during day 3, it will be working at the beginning of day 5. Let the state of the system be the number of operational loaders at the beginning of the day. How many states does the system have?

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