exact being Type of Criminals Terms of less than Five years Longer Terms First Offenders 120 40 Hardened Criminals 80 160 If one of the inmates is to be selected at random to be interviewed about prison conditions‚ H is the event that he is a hardened criminal‚ and L is the event that he is serving a longer term‚ determine each of the following probabilities: a. P(H) b. P(L) c. P(L∩H) d. P(L’∩H) e. P(L|H) f. P(H’ |L) 6. Let Z be a random variable for the number of heads obtained in four flips of a
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c. Find the conditional probability that a person subscribes to magazine A given that he or she subscribes to magazine B. Exercise 5 Let us consider a student who is taking two tests on a given day. Let A be the event that the student passes the first test and B be the event that he passes the second. Suppose that : P(A) = 0.6 P(B) = 0.8 P(A ∩ B) = 0.5 a. Find the probability that the student passes the second test given that he passes the first b. Find the probability that the
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tick answers at random. If he is allowed up to 3 chances to answer the question‚ find the probability that he will get marks in the question? Q7. A and B are two independent events. The probability that both occur simultaneously is 1/6 and the probability that neither occurs is 1/3. Find the probability of occurrence of event A and B separately? Q8. Three screws are drawn at random from a lot of 10 screws containing 4 defective. Find the probability that all the 3 screws drawn are non-defective
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down the expression) P(works) = P(A)*P(B) + P(C)*P(D)*P(E) – P(A)*P(B)*P(C)*P(D)*P(E) = 0.7*0.7 + 0.8*0.8*0.8 – 0.7*0.7*0.8*0.8*0.8 2. Finish the following Bayes theorem (only the basic version‚ not with total probability rule): For two events A and B‚ with P(A) > 0 and P(B) > 0‚ P(A|B) = P(B|A) * P(A) / P(B) 3. The probability that a regularly scheduled flight departs on time is P(D)=0.83; the probability that it arrives on time is P(A)=0.82; and the probability that it arrives
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The Chapter Five in "The Drunkard’s Walk" is "The Dueling Laws of Large and Small Numbers". At first‚ it discusses the problem about what is the connection between probability and observed results‚ however‚ true randomness does occur in nature. To learn more about the randomness‚ people found that nature’s perfect quantum dice. According to Benford’s law‚ numbers cumulative biased towards lower digits. This law can be used to identify fraud in dollar amounts. Then‚ the writer introduces two definitions
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UNIVERSITY OF CAMBRIDGE INTERNATIONAL EXAMINATIONS General Certificate of Education Advanced Subsidiary Level and Advanced Level Advanced International Certificate of Education MATHEMATICS STATISTICS Paper 6 Probability & Statistics 1 (S1) May/June 2004 1 hour 15 minutes Additional materials: Answer Booklet/Paper Graph paper List of Formulae (MF9) 9709/06 0390/06 READ THESE INSTRUCTIONS FIRST If you have been given an Answer Booklet‚ follow the instructions on the front cover of the Booklet
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Module code: BSS002-6 Module Name: Business Data Analysis Submission: 30 November‚ 2012 I my class I learn how to simulate data to solve a problem. I learn to use excel and some function in it these are =SUM() = RAND() =AVERAGE() =STDV() =RANDINV() =VLOOKUP() and few more . These are widely used function when I simulated data in excel. In task 1 I find out how to calculate or forecast how much card should we print. I use a random variable with =RAND( function and use
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Week Four Discussion 2 1. In your own words‚ describe two main differences between classical and empirical probabilities. The differences between classical and empirical probabilities are that classical assumes that all outcomes are likely to occur‚ while empirical involves actually physically observing and collecting the information. 2. Gather coins you find around your home or in your pocket or purse. You will need an even number of coins (any denomination) between 16 and 30. You do not
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Case Study: Blake Electronics CASE: 1.) MAI’s proposal directly gives Steve the conditional probabilities he needs (e.g.‚ probability of a successful venture given a favorable survey). Although the information from Iverstine and Kinard (I&K) is different‚ we can easily use Bayes’ theorem to on I&K information to compute the revised probabilities. As such‚ does not need any additional information from I&K. 2.) Steve’s problem involves three decisions. First‚ should he contract the services
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Case Study - Hamilton County Judges Case (Chapter 4) Commom Pleas Court Q. 1Probibility of Cases Being Appealed and Q. 2 Probability of Q.3 Probability of Judge Reversed Appeal Rank Reversal Rank Fred Cartolano 0.04511 14 0.00395 Thomas Crush 0.03529 4 0.00297 Patrick Dinkelacker 0.03498 3 0.00636 Timothy Hogan 0.03071 2 0.00358 Robert Kraft 0.04047 10 0.00223 William Matthews 0.04019 7 0.00795 William Morrissey 0.03991 6 0.00726 Norbert Nadel 0.04427 13 0.00676 Arthur Ney Jr. 0.03883 5 0.00435
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