16 players? 3. State multiplicative theorem of probability for dependent events. 4. An aptitude test with 4 options. If a student marks the options of the questions randomly and independently‚ then find the probability of being correct to 4 questions. 5. A can solve 75% questions in a book and B can solve 60% questions in that book. Find the probability that randomly selected questions is solved by them? 6. What is the probability of getting at least 2 heads when 3 coins are tossed
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study. BMJ. 327(7411):364. 15 Kristensen TS (1991). Sickness absence and work strain among Danish slaughterhouse workers: an analysis of absence from work regarded as coping behaviour. Soc Sci Med 32(1):15-27. Larson HJ (1982). Introduction to Probability Theory and Statistical Inference. Third Edition. John Wiley & Sons. Marmot M‚ Feeney A‚ Shipley M‚ North F‚ Syme SL (1995). Sickness absence as a measure of health status and functioning: from the UK Whitehall II study. J Epidemiol Community Health
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Q1 In a test given to 500 students‚ the average marks was 56 and the standard deviation was 20. Find (i) the number of students exceeding a score of 60. (ii) the number of students having marks between 50 and 70. (iii) the value of marks exceeded by the top 100 students. Answer-------- (i) number of students exceeding a score of 60=210 (ii) The number of students having marks between 50 and 70=188 (iii) The value of marks exceeded by the top 100 students=73 Q2. Following
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Loyalty * Possible profits 2. Financial situation and expected return of a customer IV. Examination of key figures V. Analyzing possibility of default VI. Scenario analysis and future outlook * Probabilities of profit Each account is considered as an individual project. Especially selecting the marginal credit applications is under review since the marginal accounts make the difference between profit and loss‚ as it is stated in the case material
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Regression with a Binary Dependent Variable Binary Dependent Variables and the Linear Probability Model • • • Many of the decisions made by people are binary. What factors drive a person’s decision? This question leads to regression with a binary dependent variable. The binary choice problem is an example of models with limited dependent variables (see Appendix 9.3 for details). Note that the multiple regression model discussed earlier does not preclude a dependent variable from being binary
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power surge. 10 percent of the detectors inspected have failed. What is the probability of a detector failing given it experiences a power surge? 3. Having the following hazard rate for the time to failure of a component (in operating hours): λ(t) = a. b. c. d. e. 0.4t t≥0 Find all other three functions that characterize a failure process (i.e. The cumulative distribution function ‚ the reliability function‚ the probability density function) What is the component reliability for a 10-hr operating
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the student was a transfer student. The results follow. Transfer Non-Transfer Row Totals Part-Time Full-Time 100 170 110 120 230 210 290 500 Column Totals 270 a) If a student is selected at random (from this group of 500 students)‚ find the probability that the student is a transfer student. P (Transfer) b) If
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Fairbanks Avenue‚ a few blocks from the university. She has located a good mall that attracts students. Her options are to open a small shop‚ a medium-sized shop‚ or no shop at all. The market for a dress shop can be good‚ average‚ or bad. The probabilities for these three possibilities are .2 for a good market‚ .5 for an average market‚ and .3 for a bad market. The net profit or loss for the medium-sized or small shops for the various market conditions are given in the fol- lowing table. Building
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IFYMB001 Maths Part 2 (Business) THE NCUK INTERNATIONAL FOUNDATION YEAR (IFY) Mathematics Part 2 (Business) Second Semester Examination Examination Session Summer 2009 Time Allowed 2 hours 10 minutes (Including 10 minutes reading time) INSTRUCTIONS TO STUDENTS SECTION A Answer ALL questions. This section carries 40% of the exam marks. SECTION B Answer FOUR questions. This section carries 60% of the exam marks. The marks for each part of the question are indicated in square brackets [ ] •
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For use only in [the name of your school] S1 Sample Definitions for S1 Statistical Experiment A text/investigation/process adopted for collecting data to provide evidence for or against a hypothesis. “Explain briefly why mathematical models can help to improve our understanding of real world problems” Simplifies a real world problem; enables us to gain a quicker / cheaper understanding of a real world problem Advantage and disadvantage of statistical model Advantage : cheaper and quicker Disadvantage
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