collectively exhaustive? Solution As in previous part‚ let C = (Ac ∪ Bc )c = A ∩ B which is not null. Thus‚ Ac and Bc are not collectively exhaustive. PROBLEM 2 (10 points) Joe is a fool with probability 0.6‚ a thief with probability 0.7‚ and neither with probability 0.25. (a) Determine the probability that he is a fool or a thief but not both. Solution Let A be the event that Joe is a fool and B be the event that Joe is a thief. We are given that P(A) = 0.6 P(B) = 0.7 P((A ∪ B)c ) = 0
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bagel. (a) Find the probability distribution for X. (b) Suppose at least 3 people buy a plain bagel. What is the probability that exactly 4 people buy a plain bagel? 3. The probability distribution for a discrete random variable X is given by the formula p(r) = for r = 1‚ 2‚ . . . ‚ 6. (a) Verify that this is a valid probability distribution. (b) Find P (X = 4). (c) Find P (X > 2). (d) Find the probability that X takes on the value 3 or 4. (e) Construct the corresponding probability histogram. 4. Two
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Chapter 2—Introduction to Probability PROBLEM 1. A market study taken at a local sporting goods store showed that of 20 people questioned‚ 6 owned tents‚ 10 owned sleeping bags‚ 8 owned camping stoves‚ 4 owned both tents and camping stoves‚ and 4 owned both sleeping bags and camping stoves. Let: Event A = owns a tent Event B = owns a sleeping bag Event C = owns a camping stove and let the sample space be the 20 people questioned. a. Find P(A)‚ P(B)‚ P(C)‚ P(A C)‚ P(B C). b
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Risk has two primary components for a given event: Likelihood is the probability of occurrence that event Impact of the event occurring (amount at stake). Four strategies to handle risk for a given event: 1. Avoidance This is a response type where you attempt to overcome the risk event by trying to stray away from or eliminate it altogether. You do something to your plan‚ so that the risk simply won’t occur. It involves a change in the concept‚ requirements‚ specifications‚ and/or
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Random Variable and Its Probability distribution “A random variable is a variable hat assumes numerical values associated with the random outcome of an experiment‚ where one (and only one) numerical value is assigned to each sample point”. “A random variable is a numerical measure of the outcome from a probability experiment‚ so its value is determined by chance. Random variables are denoted using letters such as X‚Y‚Z”. X = number of heads when the experiment is flipping a coin 20 times. There
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CONDITIONAL SENTENCES (‘if’ sentences) A.G.N.Sudath (JP) Bachelor of Education‚ National Diploma in Teaching English Former National Trainer at the PIC at the Ministry of Education Visiting Lecturer of English – University of Sabaragamuwa Conditional Sentences Structure : A conditional sentence is composed of 2 parts : If-clause + Main Clause Example : If it rains tomorrow‚ we will not come. If-clause Main Clause These sentences are in two halves (clauses): The if part - (if clause)
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how to use and which is it the form of present unreal conditionals and past unreal conditionals. Resource http://www.eslgold.com/grammar/present_unreal_conditionals.html http://www.eslgold.com/grammar/present_unreal_conditionals.html http://www.englishpage.com/conditional/pastconditional.html#pastunreal http://www.englishpage.com/conditional/conditional2.htm Exercise Present unreal conditionals Use The Present Unreal Conditional is used to talk about what you would generally do in imaginary
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the Copyright Act‚ the European Union‚ as part of its Electronic Commerce framework‚ has in part chosen to extend legal protection to access control mechanisms by a Directive having no connection with copyright law. This Article focuses on the Conditional Access Directive which extends legal protection to access control technology used in conjunction with certain services and argues that its legal recognition of interests in access control technology can affect the applicability of copyright law
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Zero Conditional: (General truths – things which always happen). (When/If). If I have time (present)‚ I will go to the cinema (future). If you heat water (present)‚ its boils (present). If you heat ice‚ it melts. Wood doesn’t burn If there is no air. Inversion: This country has NOT witnessed such a serious financial crisis BEFORE. (Never before). NEVER BEFORE HASN’T THIS COUNTRY WITNESSED SUCH A SERIOUS… IT’S RARE THAT a politician admits publicly that he had make a mistake. (Seldom).
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* Conditional Sentences * Factual Conditionals -Absolute‚ Scientific Results * If + verb word ‚ verb word (bare infinitive) * If water freezes‚ it becomes a solid. * Factual Conditionals -Absolute‚ Scientific Results * If orange blossoms are exposed to very cold temperatures‚ they wither and die. * If the trajectory of a satellite is slightly off at launch‚ it gets worse as the flight progresses. * Factual Conditionals – Probable Results for the Future * If
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