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three times his stake with respective probabilities 025 and 015 His strategy is to bet $5 each time his payroll is more than $50 dollars and $10 otherwise De ne an appropriate Markov chain to compute the probability that Joe reaches his goal Also calculate the expected number of bets placed by Joe until he has gone broke or reached his goal 39 A training program consists of three parts, each having a length of one month Fifty percent of the starting students immediately pass the rst part after one month, 30% drop out before the end of the rst month and 20% take the rst part again Seventy percent of the last group pass the rst part after a second trial and the other 30% still drop out Eighty percent of the students taking the second part pass this second part after the rst trial, 10% drop out after the rst trial and the other 10% move on after a second trial of the rst part Any student streaming into the third part of the training program will complete it successfully Calculate the probability that a starting student will be successful 310 Consider a nite-state Markov chain {Xn } with no two disjoint closed sets The matrix of one-step transition probabilities is called doubly stochastic when for each column the sum of the column elements equals 1 Verify that the equilibrium distribution of such a Markov chain is a uniform distribution 311 A gambling device is tuned such that a player who wins (loses) on a given play will win on the next play with probability 025 (050) The player pays $1 for each play and receives $250 for each play that is won Use Markov chain analysis to nd out whether the game is fair or not 312 A factory has a storage tank with a capacity of 4 m3 for temporarily storing waste produced by the factory Each week the factory produces 0, 1, 2 or 3 m3 waste with respective probabilities p0 = 1 , p1 = 1 , p2 = 1 , and p3 = 1 If the amount of waste 8 2 4 8 produced in one week exceeds the remaining capacity of the tank, the excess is specially removed at a cost of $30 per cubic metre At the end of each week there is a regular opportunity to remove waste from the storage tank at a xed cost of $25 and a variable cost of $5 per cubic metre The following policy is used If at the end of the week the storage tank contains more than 2 m3 of waste, the tank is emptied; otherwise no waste is removed Use Markov chain analysis to nd the long-run average cost per week 313 In a series of repeated plays, you can choose each time between games A and B During each play you win $1 or you lose $1 You are also allowed to play when your capital is not positive (a negative capital corresponds to a debt) In game A there is a single coin This coin lands heads with probability 1 ( = 0005) and tails with probability 2 1 + In game B there are two coins One coin lands heads with probability 1 and 2 10 the other coin lands heads with probability 3 If you play game B, then you must take 4 the rst coin when your current capital is a multiple of 3 and you must take the other coin otherwise In each play of either game you win $1 if the coin lands heads and you lose $1 otherwise (a) Use Markov chain analysis to verify that the long-run fraction of plays you win is 04957 when you always play game B (Hint : a three-state Markov chain suf ces) (b) Suppose you alternately play the games A, A, B, B, A, A, B, B, Use an appropriate Markov chain to verify that the long-run fraction of plays you win is 05064 This problem shows that in special cases with dependencies, a combination of two unfavourable games may result in a favourable game This paradox is called Parrondo s paradox after the Spanish physicist Juan Parrondo 314 At the beginning of each day, a crucial piece of electronic equipment is inspected and then classi ed as being in one of the working conditions i = 1, , N Here the working condition i is better than the working condition i + 1 If the working condition is i = N the piece must be replaced by a new one and such an enforced replacement takes two days If the working condition is i with i < N there is a choice between preventively replacing.

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Methods used to obtain information about an object are known as accessor methods One accessor "This book stands above the rest because it has been available on the web and read by thousands of method that you can use with both strings and string buffers is the length method, which returns the Java programmers The authors have received an enormous amount of feedback about which sections number of characters contained in the string or the string buffer After the following two lines of code are good and which sections are confusing; the confusing ones have been improved I doubt that any have been executed, len equals 17: other Java book has undergone such trial by fire uot; -Metroplex Java User Group, wwwjavamugorg/reviews/. Encoder In Visual Basic .NET Using Barcode generation for Visual .After working through the lessons in this proven tutorial, you will be well prepared to use the Java TheString class doesn't have a capacity method, because string cannot change programming language in your school or workplace.Related: 

demise of the hand-written application form This re ects the growing trend to move away from the posting of CVs and resumes to the use of structured application forms systematically covering biographical data, experience, skills etc The Internet provides more than just a replacement for the traditional recruitment process Online applicants can be responded to very quickly (within minutes by automated email, and within hours by recruiting managers) They can access sites where there is information about the company, the jobs it has, realistic job previews and so on It is not just an online application process nternet recruitment has clear advantages for both applicants and recruiters For recruiters, it provides the following: Larger applicant pools Job pro ling tools to set competency benchmark pro les against which to assess candidate t Very signi cant reductions in time to hire Typically, times are reduced from four to eight weeks down to two weeks or less Reduced cost per hire The capability to email to candidates invitations to attend an interview or further assessment within hours of completing an application This speed of response is likely to be critical for success in hiring for organisations competing for a limited talent pool The potential for higher validity early sift leading to more cost-ef cient selection For applicants, the advantages are: better feedback and advice on career and company choice good information about the available jobs and organisations access to a wider range of jobs and employers more rapid feedback and the ability to track one s progress. Larger applicant pools Job pro ling tools to set . Bar Code In .NET Framework Using Barcode generation for .NET .Related: Intelligent Mail Generating .NET

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Topic 18: Business Law - 53 B Legal requirements for contracts For a valid contract to exist, ve elements must exist: offer and acceptance, genuine assent, adequate consideration, capacity, and legality (1) Offer and acceptance One party must make a de nite, unquali ed offer, and the other party must accept this offer in total Three conditions must exist for there to be a valid offer: intent, communication, and de niteness Three conditions must exist for there to be a valid acceptance: bilateral contract or a unilateral contract, content, and communication (2) Genuineness of assent It is important that both parties are bound by their promises There are certain conditions that would cause a lack of assent so that no valid contract exists: (a) Misrepresentation (b) Duress, indicating a condition of coercion (c) Undue in uence, indicating a lack of assent by the offeree (d) A unilateral mistake, whereby one party knows or should realize that the other party is relying on a mistaken belief or incorrect information (e) A mutual mistake, indicating a contract that contains latent ambiguities and can be avoided by either the offeror or the offeree (f) A lack of mutuality exists in a situation in which a statement has been made that sounds like a promise but does not, in reality, bind the person making the statement to do anything (3) Adequate consideration Consideration is something that is bargained for and exchanged in a contract (4) Legal capacity The parties to an enforceable contract must be capable of entering into the contract in the eyes of the law There are certain parties who lack legal capacity (a) A minor lacks legal capacity (b) An insane person lacks legal capacity (c) An intoxicated person may lack legal capacity (5) Legality The terms of a contract cannot require any laws to be broken C Types of contracts (1) Nature of the promise (a) Bilateral contract The promise of one party is exchanged for the promise of the other party Both parties make promises that are legally enforceable (b) Unilateral contract The promise of one party is exchanged for the other party s performing some act or refraining from some act Only one party can be forced to comply with the contract For example, insurance contracts are unilateral Only the insurer is legally bound to do something The insured makes no promise to do anything Of course, if the insured does not pay the renewal premium, the policy is canceled (2) Legal validity and enforceability (a) Enforceable contract All conditions and elements are present and clear (b) Void contract A void contract has no legal standing because it lacks one or more of the requirements speci ed by law for a valid contract (c) Voidable contract A voidable contract is a legally enforceable contract, but one from which at least one of the parties can escape liability because of lack of capacity, lack of utuality, duress, misrepresentation, undue in uence, or mistake.

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