an exploratory study of students` difficulties with random variables
... statistics subjects. In this paper, we present some results from an exploratory study carried out with two university students. The aim was observing the difficulties the students face when they try to solve a problem that involves the concept of random variable. INTRODUCTION In his study about fund ...
... statistics subjects. In this paper, we present some results from an exploratory study carried out with two university students. The aim was observing the difficulties the students face when they try to solve a problem that involves the concept of random variable. INTRODUCTION In his study about fund ...
EE178: Homeworks #2 Solutions 1. A new game
... 5. Serve on the jury. In the OJ Simpson murder trial, OJ Simpson was accused of murdering his ex-wife, Nicole Simpson. The prosecution introduced evidence showing that OJ had previously abused Nicole. One of Simpson’s defense lawyers, Alan Dershowitz, made the following argument in OJ Simpson’s defe ...
... 5. Serve on the jury. In the OJ Simpson murder trial, OJ Simpson was accused of murdering his ex-wife, Nicole Simpson. The prosecution introduced evidence showing that OJ had previously abused Nicole. One of Simpson’s defense lawyers, Alan Dershowitz, made the following argument in OJ Simpson’s defe ...
Title A characterization of contiguous probability
... that lim m(l—<£φm)=σ2. If σ2—0, then the theorem immediately follows from Lemma 4.2. Thus, assume that σ 2 >0. Since (A.I) implies (2) in Lemma 4.1, it is enough to show that the conditions (3) and (4) in Lemma 4.1 are satisfied. From (A.I) and (C.3), we have ...
... that lim m(l—<£φm)=σ2. If σ2—0, then the theorem immediately follows from Lemma 4.2. Thus, assume that σ 2 >0. Since (A.I) implies (2) in Lemma 4.1, it is enough to show that the conditions (3) and (4) in Lemma 4.1 are satisfied. From (A.I) and (C.3), we have ...
Basic Probability Rules
... Notice that events are sets. [In particular, they are subsets of the sample space S.] Thus, it is legitimate to perform set operations such as complement, intersection, and union on them. On the other hand, probabilities are numbers. More specifically, they are numbers between 0 and 1 (including tho ...
... Notice that events are sets. [In particular, they are subsets of the sample space S.] Thus, it is legitimate to perform set operations such as complement, intersection, and union on them. On the other hand, probabilities are numbers. More specifically, they are numbers between 0 and 1 (including tho ...
Reasoning with Probabilities
... Motivation and description Probability logic has been developed in philosophy, computer science, and game theory, often toward different goals, but using similar frameworks. This course aims to strengthen the understanding a student from one of these disciplines may have of reasoning about probabil ...
... Motivation and description Probability logic has been developed in philosophy, computer science, and game theory, often toward different goals, but using similar frameworks. This course aims to strengthen the understanding a student from one of these disciplines may have of reasoning about probabil ...
Some New Twists To Problems Involving The Gaussian Probability
... Abstract—Using an alternate form of the Gaussian probability integral discovered a number of years ago, it is shown that the solution to a number of previously considered communication problems can be simplified and, in some cases, made more accurate (i.e., exact rather than bounded). These problems ...
... Abstract—Using an alternate form of the Gaussian probability integral discovered a number of years ago, it is shown that the solution to a number of previously considered communication problems can be simplified and, in some cases, made more accurate (i.e., exact rather than bounded). These problems ...
Blue screen
... 1. Two boxes, B1 and B2 contain 100 and 200 light bulbs respectively. The first box has 15 defective bulbs and the second 5. Suppose a box is selected at random and one bulb is picked out. a) What is the probability that it is defective? ...
... 1. Two boxes, B1 and B2 contain 100 and 200 light bulbs respectively. The first box has 15 defective bulbs and the second 5. Suppose a box is selected at random and one bulb is picked out. a) What is the probability that it is defective? ...
(England). Proposed subject content
... Strategies in between) have given rise to a degree of understanding in the wider mathematical community about number, ratio, and algebra. We may not agree on all the details, but there is a much greater awareness than there once was that competence in these domains is essential if students are to be ...
... Strategies in between) have given rise to a degree of understanding in the wider mathematical community about number, ratio, and algebra. We may not agree on all the details, but there is a much greater awareness than there once was that competence in these domains is essential if students are to be ...
![Chapter 3.1 Random Experiment, Outcomes and Events O O O ]O,O](http://s1.studyres.com/store/data/001107391_1-6b2b9a2a395e41bdacfb86cb56c2ca2e-300x300.png)
Chapter 3.1 Random Experiment, Outcomes and Events O O O ]O,O
... Example: How many different numbers can be generated for the first 5 digits of a UBC student number ? ...
... Example: How many different numbers can be generated for the first 5 digits of a UBC student number ? ...
Ars Conjectandi
Ars Conjectandi (Latin for The Art of Conjecturing) is a book on combinatorics and mathematical probability written by Jakob Bernoulli and published in 1713, eight years after his death, by his nephew, Niklaus Bernoulli. The seminal work consolidated, apart from many combinatorial topics, many central ideas in probability theory, such as the very first version of the law of large numbers: indeed, it is widely regarded as the founding work of that subject. It also addressed problems that today are classified in the twelvefold way, and added to the subjects; consequently, it has been dubbed an important historical landmark in not only probability but all combinatorics by a plethora of mathematical historians. The importance of this early work had a large impact on both contemporary and later mathematicians; for example, Abraham de Moivre.Bernoulli wrote the text between 1684 and 1689, including the work of mathematicians such as Christiaan Huygens, Gerolamo Cardano, Pierre de Fermat, and Blaise Pascal. He incorporated fundamental combinatorial topics such as his theory of permutations and combinations—the aforementioned problems from the twelvefold way—as well as those more distantly connected to the burgeoning subject: the derivation and properties of the eponymous Bernoulli numbers, for instance. Core topics from probability, such as expected value, were also a significant portion of this important work.