Joya’s Birthday Problem…. Joya's tenth birthday is in just a few days… She has narrowed her birthday party ideas to: Pizza party at Palermo’s Palace, or Ice cream, cake and presents at home…. Joya’s Birthday Problem…. Joya's mother says:

ByStatistics and Data Analysis. Professor William Greene Stern School of Business IOMS Department Department of Economics. Statistics and Data Analysis. Part 3a – Interesting Probability Puzzles. 33/36. 2 Classic Problems and 1 Intriguing One. The birthday problem The Monty Hall problem

ByThe Birthday Problem. The Problem. What is the probability that at least two people in this class share the same birthday?. Assumptions. Only 365 days each year. Birthdays are evenly distributed throughout the year, so that each day of the year has an equal chance of being someone’s birthday.

ByThe Birthday Problem. The Problem. In a group of 50 students, what is the probability that at least two students share the same birthday?. Assumptions. Only 365 days each year.

ByLecture 14. Birthday Problem. In a classroom of 21 people, what is the probability that at least two people have the same birthday? Event A: at least two people have the same birthday out of the 21 people. A C : every person has a different birthday out of the 21 people.

ByFoundations of Network and Computer Security. J ohn Black. CSCI 6268/TLEN 5550, Spring 2014. Announcements. Today: Final Review Final Exam on Monday 5/5, 1:30-4pm, this room. About the Final. Same format as Midterm Short answers, extended topic questions, Justified True/False. Coverage.

ByOccupancy Problems . m balls being randomly assigned to one of n bins. (Independently and uniformly) The questions: - what is the maximum number of balls in any bin? -what is the expected number of bins with k balls?.

ByCSRU 1400 Discrete Structure. Chapter 6 Probability. 1. Start with Our Intuition. What’s the probability/odd/chance of getting “heads” when a coin is tossed ? 0.5 if it’s a fair coin. getting a number larger than 4 with a roll of a die ? 2/6=1/3

ByHash Functions. Cryptographic Hash Function. Crypto hash function h(x) must provide Compression output length is small Efficiency h(x) easy to compute for any x One-way given a value y it is infeasible to find an x such that h(x) = y

ByFor a description of the birthday problem (or paradox) see the Wikipedia article:. Birthday Problem. http://en.wikipedia.org/wiki/Birthday_problem.

ByVenn Diagrams and Set Operations: Tools for Probability. Properties of the Probability of an Event. Here are some properties of the probability of an event that everyone must remember. Let E be an event of a sample space S. If E is the empty set, then P(E)=0 .

ByComputational Problem Solving. Three pillars of science and engineering: Theory Experimentation Computation (Simulation) Some problems are difficult to analyze analytically, but easy to simulate. Learn to “think computationally” to get results from simple simulations.

ByTutorial on “R” Programming Language. Eric A. Suess , Bruce E. Trumbo, a nd Carlo Cosenza CSU East Bay, Department of Statistics and Biostatistics. Outline. Communication with R R software R Interfaces R code Packages Graphics Parallel processing/distributed computing

ByTutorial on “R” Programming Language. Eric A. Suess , Bruce E. Trumbo, a nd Carlo Cosenza CSU East Bay, Department of Statistics and Biostatistics. Outline. Communication with R R software R Interfaces R code Packages Graphics Parallel processing/distributed computing

ByTutorial on “R” Programming Language. Eric A. Suess, Bruce E. Trumbo, and Carlo Cosenza CSU East Bay, Department of Statistics and Biostatistics. Outline. Communication with R R software R Interfaces R code Packages Graphics Parallel processing/distributed computing

By5B.1 Permutations and Combinations. Permutation: An arrangement of r objects from n objects, the order of which is important. The possible number of such arrangements is denoted by n P r.

ByIntro. to Probability, z-transform, and Laplace transform. Cheng-Fu Chou. Outline. Probability system Conditoinal prob. Theorem of total prob. Bayes’ theorem z-transform Laplace transform. Probability. Sample Space (S) which is a collection of objects. Each is a sample point.

ByIntro. to Probability, z-transform, and Laplace transform. Cheng-Fu Chou. Outline. Probability system Conditoinal prob. Theorem of total prob. Bayes’ theorem z-transform Laplace transform. Probability. Sample Space (S) which is a collection of objects. Each is a sample point.

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