Pest Control In an experiment to test the effectiveness of the latest roach trap, the "Roach Resort," 500 roaches wereplaced in the vicinity of the trap and left there for an hour. At the end of the hour, it was observed that 100 of them had"checked in," while the rest were still scurrying around. (Remember that "once a roach checks in, it never checks out." Let1 = not checked in, and 2 = checked in.)(a) Set up the transition matrix P for the system with decimal entries.Calculate P2Calculate p3.(b) If a roach begins outside the "Resort," what is the probability of it "checking in" by the end of 1 hour? 2 hours? 3hours?1 hour2 hours3 hours(c) What do you expect to be the long-term impact on the number of roaches?O Eventually, all the roaches will have checked in.O Eventually, all the roaches will not have checked in.O There is not enough information.412 AM42°F CloudyA D O (x12/12/2021hp

Answered: Image /qna-images/answer/661cd65c-5221-4299-9517-a08a7b77894e.jpg

Answered: Pest Control In an experiment to test…

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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Suppose that we roll two fair six-sided dice and record the numbers showing as an ordered pair. Let Y denote the absolute value of the difference of the two numbers. Find ?(Y).
Given P(E) = 0.29, P(F) = 0.49, and P(E and F) = 0.15, what is P(E or F)?
Aidan is a goalie for his school’s hockey team. He normally stops 87% of the shots that come his way. In one particularly bad game, he let five of the 15 shots into the goal. He decides to cheer himself up by convincing himself that this game would be unusual for a goalie who stops 87% of the shots. He uses the table of random digits below using the rule that he will read across the row, two digits at a time, with 01–87 indicating a stop and 88–99 and 00 indicating a goal, until 15 attempts are recorded. 61373 70629 96541 81508 28214 06485 Which of the following statements about this random number table best describes the simulation? A. (61)(37)(3 7)(06)(29) 96(54)(1 8)(15)(08) (28)(21)(4 0)(64)(85) The underlined numbers in the random number table indicate saves, so in this simulation, Aidan stopped 14 of 15 shots. B. (61)(37)(3 7)(06)(29) 96(54)(1 8)(15)(08) (28)(21)(4 0)(64)(85) The underlined numbers in the random number table indicate goals, so in this simulation, Aidan…
Jerry is considering opening a new ice cream store at a certain location on State Street in Madison. Jerry conducts some analysis and determines that a given location is acceptable only if the number of pedestrians passing the potential location averages more than 100 per hour. To check if this location is acceptable, Jerry records the number of pedestrians observed for each of 40 hours. Jerry finds that the average number of pedestrians that pass the potential location during each of the 40 hours he was observing, is 105.7 per hour. Jerry assumes that he knows the population standard deviation to be 16. Can Jerry conclude at the 1% significance level that the potential location for the ice cream store is acceptable? a. What is the correct set of hypotheses? Answer: Ho: u = 100 and H1: u> 100 v b. Determine the p-value Answer: 0.0122 c. Interpret the results Answer: There is not enough evidence d. Jerry is concerned with committing a Type II error. Determine the probability of Type II…
The manager of a local record store is interested in the effectiveness of an advertisingcampaign on sales. They randomly select 10 popular CDs (all in the Billboard top 100),and place an ad in the local school newspaper saying that the store has these (and more)in stock. They measure the sales of these 10 CDs for 1 week prior to the ad, and then for1 week after the ad. The number of CDs sold each week is presented below. Was there anincrease in the number of CDs sold after the ad? Conduct a 6-step hypothesis test.CD Numbersold beforeadNumbersold after adA 25 32B 18 24C 3 7D 42 40E 16 19F 20 25G 23 23H 32 35I 60 65J 40 43 Please solve using 6 steps hypothesis and solve in excel
r1
The values listed below are waiting times (in minutes) of customers at two different banks. At Bank A, customers enter a single waiting line that feeds three teller windows. At Bank B, customers may enter any one of three different lines that have formed at three teller windows. Answer the following questions. Bank A 6.3 6.6 6.7 6.8 7.1 7.3 7.5 7.8 7.8 7.8 Bank B 4.2 5.5 5.9 6.3 6.7 7.7 7.7 8.5 9.3 10.0 Click the icon to view the table of Chi-Square critical values. Construct a 90% confidence interval for the population standard deviation o at Bank A. 7:6
PLEASE PROVIDE THOROUGH EXPLANATION....answer for ii) is 1/3
A certain affects virus 0.8% of the population. A test used to detect the virus in a person is positive 88% of the time if the person has the virus (true positive) and 13% of the time if the person does not have the virus (false postive). Fill out the remainder of the following table and use it to answer the two questions below. (enter answer with no commas, i.e. as 1000 not 1,000.) Infected Not Infected Total Positive Test [a] [b] [c] Negative Test [d] [e] [f] Total 800 99,200 100,000 i) Find the probability that a person has the virus given that they have tested positive. (Round your answer to the nearest tenth of a percent and do not include a percent sign.)[g]_______ % ii) Find the probability that a person does not have the virus given that they test negative. (Round your answer to the nearest tenth of a percent and do not include a percent sign.)[h]________ %
If P(A) = 0.6 and P(B) = 0.25, and P(A and B) = 0.3, determine P(A or B)
The values listed below are waiting times (in minutes) of customers at two different banks. At Bank A, customers enter a single waiting line that feeds three teller windows. At Bank B, customers may enter any one of three different lines that have formed at three teller windows. Answer the following questions. Bank A 6.4 6.6 6.7 6.8 7.1 7.3 7.6 7.9 7.9 7.9 Bank B 4.2 5.4 5.8 6.2 6.7 7.6 7.6 8.5 9.2 10.0 Click the icon to view the table of Chi-Square critical values. Construct a 99% confidence interval for the population standard deviation o at Bank A. 0.36 min
likely to get 19. Shreya conducted a study to see if name-brand flashlight batteries last longer than gencric batteries, on avcrage. For each of 20 flashlights, she flipped a coin. If it was heads shc uscd namc-brand batteries and if it was tails she used the generic brand. She left the flashlights on and recorded how long it took for the batterics to wear out. The results showed that the flashlights that had the name-brand batteries, on average, lasted significantly longer than the flashlights that used the generic brand. What type of design is this study? a. This study is an example of a simple random sample. b. This study is an example of a matched pairs experiment. This study is an example of a completely randomized experiment. This study is an example of an obscrvational study. c. d.

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