Unit 6 (Part II) – Triangle Similarity
... My role for this Investigation ________________________ ...
... My role for this Investigation ________________________ ...
Department of Mathematics Centre for Foundation Studies, IIUM
... and D. The total number of questions is 20. (a) If a student guesses each of the answers, calculate the probability that the student gets at least 2 correct answers. (b) If 10 students sit for the test and all of them guess at each of the answers, calculate the probability that only one student do n ...
... and D. The total number of questions is 20. (a) If a student guesses each of the answers, calculate the probability that the student gets at least 2 correct answers. (b) If 10 students sit for the test and all of them guess at each of the answers, calculate the probability that only one student do n ...
Probability Theory, Discrete, and Continuous Probability
... D. Conditional Probability and Independence Suppose a population of N people contains NA color-blind people, NB females, and NA∩B people who are female and color-blind (NA∩B ≤ min(NA , NB )). Let the outcome that a person chosen at random is color-blind be event A, and the outcome that a person chos ...
... D. Conditional Probability and Independence Suppose a population of N people contains NA color-blind people, NB females, and NA∩B people who are female and color-blind (NA∩B ≤ min(NA , NB )). Let the outcome that a person chosen at random is color-blind be event A, and the outcome that a person chos ...
ACM 116: Lecture 1 Agenda
... Suppose we are no longer interested in ordered samples but in the constituents of the samples regardless of the order in which they were obtained. • The number of unordered samples of r objects from n objects without ...
... Suppose we are no longer interested in ordered samples but in the constituents of the samples regardless of the order in which they were obtained. • The number of unordered samples of r objects from n objects without ...
Bellwork
... Compound Event: consists of two or more simple events (the combined action of buying an item and receiving a free tote bag is a compound event). ...
... Compound Event: consists of two or more simple events (the combined action of buying an item and receiving a free tote bag is a compound event). ...
3. Conditional Probability
... a. What is the sample space? b. What is the probability of 4 boys? 4 girls? c. What is the probability of 1 girl and three boys? 1 boy and three girls? d. What is the probability of 2 boys and 2 girls? e. What is the sum of your answers in parts b through d? 2. What is the probability of a family of ...
... a. What is the sample space? b. What is the probability of 4 boys? 4 girls? c. What is the probability of 1 girl and three boys? 1 boy and three girls? d. What is the probability of 2 boys and 2 girls? e. What is the sum of your answers in parts b through d? 2. What is the probability of a family of ...
Student Worksheet From Probability to the Gambler`s Fallacy
... From Probability to the Gambler’s Fallacy “It is remarkable that a science which began with the consideration of games of chance should have become the most important object of human knowledge … The most important questions of life are, for the most part, really only problems of probability.” ~ Pier ...
... From Probability to the Gambler’s Fallacy “It is remarkable that a science which began with the consideration of games of chance should have become the most important object of human knowledge … The most important questions of life are, for the most part, really only problems of probability.” ~ Pier ...
Binomial Distribution
... to find probabilities for a given binomial distribution, by calculation and from tables ...
... to find probabilities for a given binomial distribution, by calculation and from tables ...
Quantum Theory 1 - Home Exercise 4
... Find the probability current associated with this wave function, Interpret the different terms and show that if |A| = |B| the probability current vanishes. 2. Particle on a ring - Consider a particle that is free to move on a ring of circumference L. (a) Find the normalized stationary states of the ...
... Find the probability current associated with this wave function, Interpret the different terms and show that if |A| = |B| the probability current vanishes. 2. Particle on a ring - Consider a particle that is free to move on a ring of circumference L. (a) Find the normalized stationary states of the ...
Students-chapter5-S07
... Unusually high: x successes among n trials is unusually high if P(x or more) is very small (such as less than 0.05) Unusually low: x successes among n trials is unusually low if P( or fewer) is very small (such as less than 0.05) ...
... Unusually high: x successes among n trials is unusually high if P(x or more) is very small (such as less than 0.05) Unusually low: x successes among n trials is unusually low if P( or fewer) is very small (such as less than 0.05) ...
1 A simple example
... to do that, we’ll treat the parameter θ as a random variable rather than an unknown constant. Since it’s a random variable, I’ll use an uppercase Θ. This random variable Θ itself has a probability mass function, which I’ll denote fΘ (θ) = P (Θ=θ). This fΘ is called the prior distribution on Θ. It’s ...
... to do that, we’ll treat the parameter θ as a random variable rather than an unknown constant. Since it’s a random variable, I’ll use an uppercase Θ. This random variable Θ itself has a probability mass function, which I’ll denote fΘ (θ) = P (Θ=θ). This fΘ is called the prior distribution on Θ. It’s ...
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.