KVS JMO 2 - Home works and Assignments Online
... 3 persons A, B and C with help of a monkey collected many cocoanuts, got tired and fell asleep. At night A woke up and decided to have his shares. He divided cocoanuts into 3 equal shares giving the left out single cocoanut to monkey for it’s hard labour and fell aleep again. In the same way in orde ...
... 3 persons A, B and C with help of a monkey collected many cocoanuts, got tired and fell asleep. At night A woke up and decided to have his shares. He divided cocoanuts into 3 equal shares giving the left out single cocoanut to monkey for it’s hard labour and fell aleep again. In the same way in orde ...
Sixth - Bergen.org
... 29. In Part A of his math test, Minsung got seven out of ten questions correct. If there are fifteen questions in Part B of the test and all the questions are worth the same number of points, what is the least number of questions on Part B that Minsung must answer correctly to get a final score of a ...
... 29. In Part A of his math test, Minsung got seven out of ten questions correct. If there are fifteen questions in Part B of the test and all the questions are worth the same number of points, what is the least number of questions on Part B that Minsung must answer correctly to get a final score of a ...
Math modeling unit and activity –Conditional Probability
... At this point, they should spend time in their groups developing a model to answer the solution. They should prepare a white board to present their model and answer the question. Graphs, equations, data tables and drawings are excellent models. After they present their model, they should take a mome ...
... At this point, they should spend time in their groups developing a model to answer the solution. They should prepare a white board to present their model and answer the question. Graphs, equations, data tables and drawings are excellent models. After they present their model, they should take a mome ...
Statistical Exercises--Dice
... frequency with which each side comes up. In principle, every side of a six-sided die has an equal probability of landing up, namely one-sixth. We expect the outcome of dice-throws to approach the theoretical one-sixth after a large number of independent throws. In short sequences of throws, the obse ...
... frequency with which each side comes up. In principle, every side of a six-sided die has an equal probability of landing up, namely one-sixth. We expect the outcome of dice-throws to approach the theoretical one-sixth after a large number of independent throws. In short sequences of throws, the obse ...
Module 5-7 Questions and Answers
... choose. The offer to switch your choice is really the offer to switch from the door you choose to the two doors you didn't initially choose. How do you construct a two way probability table? ...
... choose. The offer to switch your choice is really the offer to switch from the door you choose to the two doors you didn't initially choose. How do you construct a two way probability table? ...
Dependent Events
... Example: There are 6 black pens and 8 blue pens in a jar. If you take a pen without looking and then take another pen without replacing the first, what is the probability that you will get: P(blue first) = P(black second) = ...
... Example: There are 6 black pens and 8 blue pens in a jar. If you take a pen without looking and then take another pen without replacing the first, what is the probability that you will get: P(blue first) = P(black second) = ...
Lecture 2: Random variables in Banach spaces
... to check the almost sure convergence of sums of independent symmetric random variables and will play an important role in the forthcoming lectures. The proof of the Itô-Nisio theorem is based on a uniqueness property of Fourier transforms (Theorem 2.8). From this lecture onwards, we shall always as ...
... to check the almost sure convergence of sums of independent symmetric random variables and will play an important role in the forthcoming lectures. The proof of the Itô-Nisio theorem is based on a uniqueness property of Fourier transforms (Theorem 2.8). From this lecture onwards, we shall always as ...
3.2-contingeny-table-practice
... will be the denominator of your fraction. Then find the number of times event B occurred out of event A; that will be your numerator. I have done a few for you. The table below shows the gender of a sample of 100 animals at a shelter. 52 are male, 48 are female (rows across). 51 animals are dogs, wh ...
... will be the denominator of your fraction. Then find the number of times event B occurred out of event A; that will be your numerator. I have done a few for you. The table below shows the gender of a sample of 100 animals at a shelter. 52 are male, 48 are female (rows across). 51 animals are dogs, wh ...
Computation and Thermodynamics
... The domain of a Turing machine M is the set of strings x for which M(x) is defined. That is, the machine eventually halts when given input x. A prefix-free Turing machine is one whose domain is a prefix-free set. A prefix-free machine U is universal if for any prefix-free machine M there exists a c ...
... The domain of a Turing machine M is the set of strings x for which M(x) is defined. That is, the machine eventually halts when given input x. A prefix-free Turing machine is one whose domain is a prefix-free set. A prefix-free machine U is universal if for any prefix-free machine M there exists a c ...
B - IDA
... Note! With Bayes’ theorem (original or on odds form) we can calculate Pr (A | B, I ) without explicit knowledge of Pr(B | I ) ...
... Note! With Bayes’ theorem (original or on odds form) we can calculate Pr (A | B, I ) without explicit knowledge of Pr(B | I ) ...
Chapter 5 Discrete Probability Distributions
... Binomial Probability Distribution Evans is concerned about a low retention rate for employees. On the basis of past experience, management has seen a turnover of 10% of the hourly employees annually. Thus, for any hourly ...
... Binomial Probability Distribution Evans is concerned about a low retention rate for employees. On the basis of past experience, management has seen a turnover of 10% of the hourly employees annually. Thus, for any hourly ...
Chapter 8: The Binomial and Geometric
... P(x) = We specifically are looking for p(3), i.e the probability that Tom will have exactly 3 “successes” Having all the given information, we can find: ...
... P(x) = We specifically are looking for p(3), i.e the probability that Tom will have exactly 3 “successes” Having all the given information, we can find: ...
1 Combinations, Permutations, and Elementary Probability
... (c) If they line up at random, what is the probability that David and Steph will be next to each other? 2. Eight people met at a New Year’s Eve party and all shake hands. How many handshakes were there? 3. Teacher Thelma says "You may work these …ve problems in any order you choose." There are 30 st ...
... (c) If they line up at random, what is the probability that David and Steph will be next to each other? 2. Eight people met at a New Year’s Eve party and all shake hands. How many handshakes were there? 3. Teacher Thelma says "You may work these …ve problems in any order you choose." There are 30 st ...
Infinite monkey theorem
The infinite monkey theorem states that a monkey hitting keys at random on a typewriter keyboard for an infinite amount of time will almost surely type a given text, such as the complete works of William Shakespeare.In this context, ""almost surely"" is a mathematical term with a precise meaning, and the ""monkey"" is not an actual monkey, but a metaphor for an abstract device that produces an endless random sequence of letters and symbols. One of the earliest instances of the use of the ""monkey metaphor"" is that of French mathematician Émile Borel in 1913, but the first instance may be even earlier. The relevance of the theorem is questionable—the probability of a universe full of monkeys typing a complete work such as Shakespeare's Hamlet is so tiny that the chance of it occurring during a period of time hundreds of thousands of orders of magnitude longer than the age of the universe is extremely low (but technically not zero). It should also be noted that real monkeys don't produce uniformly random output, which means that an actual monkey hitting keys for an infinite amount of time has no statistical certainty of ever producing any given text.Variants of the theorem include multiple and even infinitely many typists, and the target text varies between an entire library and a single sentence. The history of these statements can be traced back to Aristotle's On Generation and Corruption and Cicero's De natura deorum (On the Nature of the Gods), through Blaise Pascal and Jonathan Swift, and finally to modern statements with their iconic simians and typewriters. In the early 20th century, Émile Borel and Arthur Eddington used the theorem to illustrate the timescales implicit in the foundations of statistical mechanics.