In definition, probability refers to the measure of the likelihood of an event happening. The probability for any event occurring falls between 1 percent and 100 percent thus meaning that the interpreted meaning of a probability equals the subject meaning held of the probability (Grinstead et al, 1997). However, it is worth noting that the application of probability or assigning of probability to the events in the effort to gratifying the axioms of probability follows some rules or basics (Grinstead et al, 1997). One of the basics is the random variable that refers to the quantity with uncertain expected future values. For instance, it is of uncertainty to determine the price of the products in the near future given the changing dynamic…
Implementation of Bayesian Method for basic pattern Classification Abstract: This document describes an example of basic pattern classification using the Bayesian method. Based on given two dimensional (2-D) training data for two classes, we created a classifier using discriminant function (which is the logarithmic version of Bayes formula) and used it to classify provided test data. We estimated the necessary statistical parameters, such as mean covariance and prior probabilities, from…
as numeracy. Age. Older individuals don’t understand risk information as well, both overestimate and underestimate probabilities (Fuller, Dudley, & Blacktop, 2001), worse risk comprehension than younger individuals (Fausset & Rogers, 2012). Much of the literature supports the idea that decision making effectiveness…
THE CONCEPTS OF NEGATIVE BINOMIAL DISTRIBUTION AND ITS APPLICATIONS IN REAL LIFE. BY OWUSU BRIGHT. INTRODUCTION In centuries, human activities where outcomes are described either as success or failure, has been a concern in the history of probability and statistics. In the act of tossing a coin, throwing a die to obtain a 6, either a machine work or fails, a student passing an exam or not and so on are events whose end results are either a yes or no, good or bad, present or absent, success or…
Ajay Devgan says, “By getting into distribution and production, I have actually widened my base” (Distribution Quotes, 2016). Distributions are all around us in the fields of programming, medical, the sciences in many of today colleges. For me, distributions occurred in the aspect of programming, childhood and motherhood. As a single mother with a son, distribution appears in many activities, such as college and taking care of my child. As a student in Trine University, statistics class has many…
1 Abstract — Information sent and received in wireless communication systems can suffer from data losses due to multipath propagation, further leading to intersymbol interference. These conditions compromise the integrity of the information transmitted. This paper explores the Viterbi algorithm used to combat error bounds in convolutional codes, and develops a MATLAB-based alternative model of the algorithm for continuous time applications that is shown to significantly diminish the effects of…
"Struck by Lightning: the curious world of probabilities" is a book written in 2005 by Jeffrey S. Rosenthal, an award-winning Canadian statistician and author. Jeffrey S. Rosenthal graduated from Woburn Collegiate Institute in 1984, received his B.Sc. in mathematics, physics and computer science in Toronto in 1988. He later received his PhD in mathematics in Harvard University in 1992. He performs music and improv. comedy as well as being an author and supervisor of student projects. "Struck by…
modelling technique selection stage. However, it is not as important as the other two sources after it was decided not to be used as the modelling method for the system model of this project. Bayesian networks are diagrams for uncertain interpretation in which the nodes denote factors which can either be discrete or continuous, X = X1,…
uncertainty. When an “outcome is the result of adding the outcomes of many separate performances, all in certain respects uniform”; in other words, when the frequency-ratio is known, then the experiment is named divisible, while a non-divisible or non-seriable experiment is one which “can be neither itself broken down into a number of uniform additive parts nor treated as part of a divisible experiment” (p. 8). In a non-divisible experiment the frequency-ratio standpoint has no actual sense. One…
Part 2: What you did during the rehearsal For this part of the reflection regarding what I did during my rehearsal, I have chosen to analyze how I Elicited and Responded to Student Thinking and how I Represented Students’ Mathematical Thinking. Eliciting & Responding to Student Thinking To demonstrate how I elicited and responded to student thinking, I have chosen to examine my video from 2:45 – 3:25. During this time, I asked students for their answers to the problem given to them and their…