6.4 the hypergeometric probability distribution
... Determine Whether a Probability Experiment Is a Hypergeometric Experiment In Section 6.2, we presented binomial experiments. Recall, the binomial probability distribution can be used to compute the probabilities of experiments when there are a fixed number of trials in which there are two mutually e ...
... Determine Whether a Probability Experiment Is a Hypergeometric Experiment In Section 6.2, we presented binomial experiments. Recall, the binomial probability distribution can be used to compute the probabilities of experiments when there are a fixed number of trials in which there are two mutually e ...
Chapter 2 Probability, Statistics, and Traffic Theories
... Some original slides were modified by L. Lilien, who strived to make such modifications clearly visible. Some slides were added by L. Lilien, and are © 2006-2007 by Leszek T. Lilien. Requests to use L. Lilien’s slides for non-profit purposes will be gladly granted upon a written request. ...
... Some original slides were modified by L. Lilien, who strived to make such modifications clearly visible. Some slides were added by L. Lilien, and are © 2006-2007 by Leszek T. Lilien. Requests to use L. Lilien’s slides for non-profit purposes will be gladly granted upon a written request. ...
HOMEWORK 6, CS 480, due May 2nd, Jana Kosecka 1. 13.6. (10
... decision procedure returns FAKE if all k ips come up heads, otherwise it returns NORMAL. What is the (unconditional) probability that this procedure makes an error? (a) A typical counting argument goes like this: There are n ways to pick a coin, and 2 outcomes for each flip (although with the fake c ...
... decision procedure returns FAKE if all k ips come up heads, otherwise it returns NORMAL. What is the (unconditional) probability that this procedure makes an error? (a) A typical counting argument goes like this: There are n ways to pick a coin, and 2 outcomes for each flip (although with the fake c ...
Slides
... The notion of probability plays an important role in almost all areas of science and technology. In modern mathematics, however, probability theory means nothing other than measure theory, and the operational characterization of the notion of probability does not seem to be established yet. In this ...
... The notion of probability plays an important role in almost all areas of science and technology. In modern mathematics, however, probability theory means nothing other than measure theory, and the operational characterization of the notion of probability does not seem to be established yet. In this ...
Check your answers
... Among those who have not repeated a grade, what is the probability of having social problems? 7/76 = .092 Are repeating a grade and having social problems independent or correlated? If correlated, describe how they are correlated. Those who have repeated a grade are more likely to have social pr ...
... Among those who have not repeated a grade, what is the probability of having social problems? 7/76 = .092 Are repeating a grade and having social problems independent or correlated? If correlated, describe how they are correlated. Those who have repeated a grade are more likely to have social pr ...
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.