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... Throwing a dice using a computer When we throw an “honest” 6 sided dice we expect each number to appear 1/6 of the time. To simulate this on the computer we want a program that generates the integers [1, 2, 3, 4, 5, 6] in a way that each number is equally likely. ...
... Throwing a dice using a computer When we throw an “honest” 6 sided dice we expect each number to appear 1/6 of the time. To simulate this on the computer we want a program that generates the integers [1, 2, 3, 4, 5, 6] in a way that each number is equally likely. ...
PowerPoint Sunusu
... • The concept of probability provides us with the idea on how to measure the chances of possible outcomes. • Probability enables us to quantify uncertainty, which is described in terms of mathematics ...
... • The concept of probability provides us with the idea on how to measure the chances of possible outcomes. • Probability enables us to quantify uncertainty, which is described in terms of mathematics ...
This is just a test to see if notes will appear here…
... Scrabble and Monopoly. The probability that Hannah wins at Scrabble is 0.7, and the probability that George wins at Monopoly is 0.65. One rainy day they sit down for another fierce battle. What is the probability George wins both games? Okay, before we start, let’s make sure we know what’s going on ...
... Scrabble and Monopoly. The probability that Hannah wins at Scrabble is 0.7, and the probability that George wins at Monopoly is 0.65. One rainy day they sit down for another fierce battle. What is the probability George wins both games? Okay, before we start, let’s make sure we know what’s going on ...
Chapter 7b 7b-1
... A large donut company states that 60% of their customers order coffee along with their donut. What is the probability that 11 of next 15 customers will order coffee? ...
... A large donut company states that 60% of their customers order coffee along with their donut. What is the probability that 11 of next 15 customers will order coffee? ...
3.1-guided-notes - Bryant Middle School
... event. Events are often represented by _____________ letters, such as ____, ____, or ____. An event that consists of a single outcome is called a ___________ event. The event “tossing heads and rolling a 3” is a simple event because it can be represented as ________. However, the event “tossing a he ...
... event. Events are often represented by _____________ letters, such as ____, ____, or ____. An event that consists of a single outcome is called a ___________ event. The event “tossing heads and rolling a 3” is a simple event because it can be represented as ________. However, the event “tossing a he ...
Counting Sample Points
... It is used when involving operations is more than two. Theorem #2 If an operation in n1 ways,and if for each of these operation can be performed in n 2 ways,and for each of the first two a third operation can be performed in n 3 ways and so forth then the sequence of k operations can be performed in ...
... It is used when involving operations is more than two. Theorem #2 If an operation in n1 ways,and if for each of these operation can be performed in n 2 ways,and for each of the first two a third operation can be performed in n 3 ways and so forth then the sequence of k operations can be performed in ...
a n ) =0+…+ - s3.amazonaws.com
... different binary expansions. • There are two expansions for the same number if it is a rational number with denominator a power of 2. The mapping from these numbers to bit sequence is not well-defined. • So, we use the convention that we choose the one with terminating zeros. • Anyway, this happens ...
... different binary expansions. • There are two expansions for the same number if it is a rational number with denominator a power of 2. The mapping from these numbers to bit sequence is not well-defined. • So, we use the convention that we choose the one with terminating zeros. • Anyway, this happens ...
Essentials of Mathematical Statistics
... scheduling of student activities. A fifteen-person committee consisting of five administrators, five faculty members, and five students is being formed. A five-person subcommittee is to be formed from this larger committee. The chair and co-chair of the subcommittee must be administrators, and the r ...
... scheduling of student activities. A fifteen-person committee consisting of five administrators, five faculty members, and five students is being formed. A five-person subcommittee is to be formed from this larger committee. The chair and co-chair of the subcommittee must be administrators, and the r ...
MTH 156 Mathematics for Elementary Teachers II
... 3.1 Apply statistical thinking in contexts outside of mathematics. 3.2 Systematically collect, organize and interpret data. 3.3 Construct and interpret visual representations of data including dot plots, bar graphs, line graphs, histograms, box plots and stem-and-leaf plots. 3.4 Compute and interpre ...
... 3.1 Apply statistical thinking in contexts outside of mathematics. 3.2 Systematically collect, organize and interpret data. 3.3 Construct and interpret visual representations of data including dot plots, bar graphs, line graphs, histograms, box plots and stem-and-leaf plots. 3.4 Compute and interpre ...
Document
... Law of Large Numbers • The law of large numbers (or law of averages) applies to a process for which the probability of an event A is P(A) and the results of repeated trials do not depend on results of earlier trials (they are independent). • It states: If the process is repeated through many trials ...
... Law of Large Numbers • The law of large numbers (or law of averages) applies to a process for which the probability of an event A is P(A) and the results of repeated trials do not depend on results of earlier trials (they are independent). • It states: If the process is repeated through many trials ...
The Poisson process Math 217 Probability and Statistics
... Unlike the Bernoulli process in which time is discrete, the Poisson process uses continuous time. There will be a few probability distributions related to the Poisson process analogous to those associated to the Bernoulli distribution. • The Poisson distribution. It gives the number of events in uni ...
... Unlike the Bernoulli process in which time is discrete, the Poisson process uses continuous time. There will be a few probability distributions related to the Poisson process analogous to those associated to the Bernoulli distribution. • The Poisson distribution. It gives the number of events in uni ...
Events Involving “Not” and “Or”
... Although we could take a direct approach here, as in parts (a), (b), and (c), we shall combine the complements rule of probability with the special addition rule. (This would greatly improve our efficiency if the list of possibilities was very large.) Pless than 5 1 Pnot less than 5 1 P ...
... Although we could take a direct approach here, as in parts (a), (b), and (c), we shall combine the complements rule of probability with the special addition rule. (This would greatly improve our efficiency if the list of possibilities was very large.) Pless than 5 1 Pnot less than 5 1 P ...
A ∩ B
... When knowledge that one event has happened does not change the likelihood that another event will happen, we say the two events are independent. Two events A and B are independent if the occurrence of one event has no effect on the chance that the other event will happen. In other words, events A an ...
... When knowledge that one event has happened does not change the likelihood that another event will happen, we say the two events are independent. Two events A and B are independent if the occurrence of one event has no effect on the chance that the other event will happen. In other words, events A an ...
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.