_____ 1. What is mean‚ variance and expectations? Mean - The mean of a discrete random variable X is a weighted average of the possible values that the random variable can take. Unlike the sample mean of a group of observations‚ which gives each observation equal weight‚ the mean of a random variable weights each outcome xi according to its probability‚ pi. The mean also of a random variable provides the long-run average of the variable‚ or the expected average outcome over many observations
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Course Description Probability spaces; conditional probability and independence; random variables and probability distributions; marginal and conditional distributions; independent random variables‚ mathematical exceptions‚ mean and variance‚ Binomial Poisson and normal distribution; sum of independent random variables; law of large numbers; central limit theorem; sampling distributions; tests for mean using normal and student’s distributions; tests of hypotheses; correlation and linear regression. Scope
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Kenji L Logie Modeling Simulation Final Project Simulating a Worst Case Social Security Model System of Interest For the purpose of this simulation a simplified worst case social security model was created for a developing country’s social security program. The program simulates how long it would take this new social security program to go bankrupt‚ if it earns no interest on its capital‚ and its only source of paying out benefits is members’ monthly contributions and its initial capital of
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animals‚ the number of recaptures has been assumed to follow a Poisson distribution. This approximation is useful in testing differences in population levels when the Schnabel method is used for estimation‚ since the distribution of recaptures from one population‚ conditional on the total number of recaptures from both populations‚ is approximately binomial with parameters n and p‚ where p is a function of the parameters of the two Poisson distributions. Tests based on this conditional binomial distribution
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M10/5/MATHL/HP2/ENG/TZ1/XX 22107204 mathematics higher level PaPer 2 Thursday 6 May 2010 (morning) 2 hours iNsTrucTioNs To cANdidATEs Write your session number in the boxes above. not open this examination paper until instructed to do so. do graphic display calculator is required for this paper. A section A: answer all of section A in the spaces provided. section B: answer all of section B on the answer sheets provided. Write your session number on each answer sheet‚ and attach
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information: 1) Historical data shows that the number of injuries has been 10% of the number of employees in a given year. 2) The number of workplace injuries‚ X‚ typically follows a Poisson distribution with a parameter λ‚ where E(X) = λ and Variance(X) = λ. 3) We can reasonably approximate the Poisson distribution via a Normal distribution‚ with the same expected value and variance (according to Central Limit Theorem‚ for which you don’t need to know the details). 4) You will also need
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Lean Six Sigma - Tools and Techniques Method | Description | Benefits | Tools | Balanced Scorecard | Balanced Scorecard is a management system — not a measurement system. It has 4 parameters (legs). a. Customer Scorecard b. Financial Scorecard c. Internal Business Process Scorecard d. Knowledge‚ Education‚ and Growth Scorecard | | | 5S Assessment | * Sort >> Set-order / Stabilize >> Shine >> Standardize >> Sustain * 5S is a process and method for creating
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Table Question 3 Population/ sample Question 4 Hypothesis Testing- either z or t-test Question 5 Z or t- interval question Question 6 Poisson or Binomial question Question 7 Given a set of data points‚ you will have to calculate the descriptive stats- mean‚ median‚ mode‚ st. dev‚ variance‚ etc Question 8 Binomial question‚ if question 6 was a Poisson question and vice versa. Question 9 p-test or z-test ‚ using the critical value method Question 10 p-interval question Question 11 Given
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week to meet weekly demand while minimizing labor costs. 2. (10 pts) Norfolk‚ Virginia‚ a major seaport on the East Coast‚ has a ship coal-loading facility. Coal trucks filled with coal arrive at the port facility at the mean rate of 149 per day (Poisson distributed). The facility operates 24 hours a day. The coal trucks are unloaded one at a time‚ on a first-come‚ first served basis‚ by automated mechanical equipment that empties the trucks in a constant time
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1 THE LURIA-‐DELBRÜCK EXPERIMENT The Luria-Delbrück Experiment Henry Paige University College Freiburg 2 THE LURIA-‐DELBRÜCK EXPERIMENT Abstract This paper discusses Luria and Delbrück’s 1943 Fluctuation Test. Historical background is first addressed to contextualize the experiment and define the theories‚ ideas‚ and discussions relevant at the time of the experiment. A brief summary of biologists’ knowledge and attitudes towards bacteria is explained through contemporary quotes. The two main
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