2) Censider with tronsition a Manhow dhains in ntaes : 0,1,2,3,4 proboblily 10000 0.2800 0.8.200 2.20.1.5 20.1.3.4 d hose dores in abaling? Enter options lab,cidje) Which g none which of Hhere dlasmes is trensient?. Enterophand none Enter options ca,b.cid, e) Whih of these dares is necunrent? U none
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Given
Markov chains in states:0,1,2,3,4 with transition probability
1 0 0 0 0
0 .2 .8 0 0
0 .8 .2 0 0
.2 .2 0 .1 .5
.2 0 .1 .3 .4
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Solved in 2 steps
- A second-stage smog alert has been called in a certain area of Los Angeles County in which there are 50 industrial firms. An inspector will visit 10 randomly selected firms to check for violations of regulations. a. If 15 of the firms are actually violating at least one regulation, what is the pmf of the number of firms visited by the inspector that are in violation of atleast one regulation? b. If there are 500 firms in the area, of which 150 are in violation, approximate the pmf of part (a) by simpler pmf. c. For X = the number among the 10 visited that are in violation, compute E(X) and V(X) both for the exact pmf and the approximating pmf in part (b).A research center claims that that 31% of adults in a certain country would travel into space on a commercial flight if they could afford it. In a random sample of 1200 adults in that country, 33% say that would travel into space on a commercial flight if they could afford it. At alpa= 0.05, isthere enough evidence to reject the research centers claim complete parts a through d belowA second-stage smog alert has been called in a certain area of LosAngeles County in which there are 50 industrial firms. An inspector willvisit 10 randomly selected firms to check for violations of regulations. a. If 15 of the firms are actually violating at least one regulation,what is the pmf of the number of firms visited by the inspector thatare in violation of at least one regulation?b. If there are 500 firms in the area, of which 150 are in violation, approximate the pmf of part (a) by a simpler pmf.c. For X= the number among the 10 visited that are in violation,compute E(X) and V(X) both for the exact pmf and theapproximationg pmf in part (b).
- Consider a biased random walk on the set { 1, 2, 3, 4} withprobability p = .2 of moving to the left. What is the probability of moving from 2 to 3 in exactly 3 steps if the walk hasa. reflecting boundaries? b. absorbing boundaries?A second-stage smog alert has been called in a certain area of Los Angeles County in which there are 50 industrial firms. An inspector will visit 10 randomly selected firms to check for violations of regulations.a. If 15 of the firms are actually violating at least one regulation, what is the pmf of the number of firms visited by the inspector that are in violation of at least one regulation?b. If there are 500 firms in the area, of which 150 are in violation, approximate the pmf of part (a) by a simpler pmf.c. For X = the number among the 10 visited that are in violation, compute E(X) and V(X) both for the exact pmf and the approximating pmf in part (b).Were any assumptions required in order for this inference to be valid?a. Yes, the sample of network 1 ad-breaks must be independent of the sample of network 2 ad-breaks.Each population must be normally distributed, i.e. the population of all ad-breaks shown on network 1 have lengths that must be normally distributed and the population of all ad-breaks shown on network 2 have lengths that must be normally distributed.b. Yes, the sample of network 1 ad-breaks must be independent of the sample of network 2 ad-breaks.The Central Limit Theorem applies, which states the sampling distribution is normal for any population distributions.c. No. The Central Limit Theorem applies, which states the sampling distribution is normal for any population distributions.d. Yes , each population must be normally distributed, i.e. the population of all ad-breaks shown on network 1 have lengths that must be normally distributed and the population of all ad-breaks shown on network 2 have lengths that must be…
- Consider two perceptrons defined by the threshold expression True or false? Perceptron A is more general than perceptron B. more general than is defined in Chapter 2.)A torn meniscus is a common type of knee injury. In thecase of minor tears, there’s some question about whetherinitial surgery followed by physical therapy (PT) resultsin a better outcome than just physical therapy alone.To find out, experimenters will randomly assign somesubjects with this type of injury to have surgery followedby PT and others to just do PT, and then compare therecovery experiences of the tow groups. Which ofstatements A–D is false? A) If the researchers mistakenly conclude that the sur-gery was beneficial, they will commit a Type I error. B) The power of this test is its ability to detect that therereally is a benefit of surgery.C) The more participants they use in this experiment, thehigher the power of the test will be.D) Demanding stronger evidence by using a = 0.01instead of a = 0.05 would give the researchersgreater power.E) None; statements A–D are all true.Suppose that 15% of a Canadian wholesaler’s food products are gluten-free. Furthermore, 70% of its products are peanut-free. Assume that the use of nuts and gluten-containing products are independent. 1. (a) What percentage of this wholesaler’s products contain at least one of the two allergens? (b) What percentage of this wholesaler’s products are allergen-free? 2. What percentage of this wholesaler’s products contain peanuts but no gluten?
- A research center claims that 26% of adults in a certain country would travel into space on a commercial flight if they could afford it. In a random sample of 700 adults in that country, 28% say that they would travel into space on a commercial flight if they could afford it. At α=0.10, is there enough evidence to reject the research center's claim? Complete parts (a) through (d) below.At a company, the quality assuran_ce staff has set up a criter_ion to assure if the quality of their products are ready to be expor_ted. Each of the exported box contains 25 pieces of their product. Three inspection staffs are assigned to do one by one inspection. Namely, the first inspector will randomly select one piece from the box and record if it is defective or non-defective and return that piece to box. The second inspector has repeated the same way of inspection as the first inspector and, lastly, the third inspector also repeats the same action one more time. The criteri_on is as follows. If all inspectors have not found any defective product, then {th_e} box is accepted to be exported. On the other hand, if at least one of the inspector has found the defective product, the whole box must be rejected and must be returned for reproduction. By considering this way of inspection process, find The prob that a box contaning exact_ly 3 defective product would pass the inspection…An Army Commanding Officer has a patrol duty roster for 2 combat team and flip a coin for any combat team that to go patrol duty, this coin may or may not be fair. The results of 30 patrol duty of the 2 combat team Blue (B) and Red (R) accrording to those coin are B B R B R B B R B B R B B R B R B B B R R R R R B B B B B R. Using the critical value approach, appropriate conclusion is ________. A) do not reject the null hypothesis; we cannot conclude the coin is not fair B) reject the null hypothesis; we can conclude the coin is not fair C) reject the null hypothesis; we cannot conclude the coin is not fair D) do not reject the null hypothesis; we can conclude the coin is not fair Explaine your answer