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:: Elementary Probability :::: engg2040,@cuhk :: | Dr Ng's engg2040 blog at erg2040.wordpress.com

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:: Elementary Probability :::: engg2040,@cuhk :: | Dr Ng's engg2040 blog at erg2040.wordpress.com | erg2040.wordpress.com Reviews
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2 indicator variable method
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:: Elementary Probability :::: engg2040,@cuhk :: | Dr Ng's engg2040 blog at erg2040.wordpress.com | erg2040.wordpress.com Reviews

https://erg2040.wordpress.com

Dr Ng's engg2040 blog at erg2040.wordpress.com

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*** | :: Elementary Probability :::: engg2040,@cuhk ::

https://erg2040.wordpress.com/505-2

Elementary Probability : : engg2040,@cuhk :. Motivate basic concepts (random, draw/sample, tree diagram, outcome, population, with/without replacement, etc )with a simple iid game. Ignore 29th Feb perhaps? Equal likelihood assumption necessary for [solely] counting to be useful. Remark: 1000 kindergartens in HK). With, or without, replacement? Challenge: more or fewer coincidence with more or less uniform kindergarten sizes? Move over to a simple draw-without-replacement game. Pr(j heads in n “fair...

2

Conditional Probability | :: Elementary Probability :::: engg2040,@cuhk ::

https://erg2040.wordpress.com/2011/02/17/conditional-probability

Elementary Probability : : engg2040,@cuhk :. 8212; waiyinng @ 4:58 pm. The forward tree suggests to the gambler to guess the choice with largest joint probability. Of hypothesis and evidence). The reverse tree shows this same choice to have the largest conditional probability. Of hypothesis given evidence), which is obviously reasonable. The formula. Pr(E and F) = Pr(E F) Pr(F). Is readily noted. By symmetry,. Pr(E and F) = Pr(F E) Pr(E). Which describes the calculation implied by the reverse tree. Let S...

3

Three views: Tree Diagram, Venn Diagram, Distribution | :: Elementary Probability :::: engg2040,@cuhk ::

https://erg2040.wordpress.com/2011/02/14/three-views-tree-diagram-venn-diagram-distribution

Elementary Probability : : engg2040,@cuhk :. Three views: Tree Diagram, Venn Diagram, Distribution. 8212; waiyinng @ 9:50 am. 8230; for all possible values of X (the domain. C(5,1) , and the general case for j spades to be 3. C(5,1), and the probability of j spades being (1/4). The “three views” are general modelling tools for random/chance experiment/game. D3Cnr was then used as an illustrative example. Leave a Comment ». Feed for comments on this post. Leave a Reply Cancel reply. Enter your comment here.

4

Combinatorics: Combinations | :: Elementary Probability :::: engg2040,@cuhk ::

https://erg2040.wordpress.com/2011/01/20/combinatorics-combinations

Elementary Probability : : engg2040,@cuhk :. 8212; waiyinng @ 3:15 pm. DNCwr was brought up again, and further simplified to check only card colour. A simple tree for D5Cwr was illustrated, with 32 outcomes. By inspection, 1 5 10 10 5 1 = 32, and generalization, C(n,0) C(n,1) … C(n,n) = 2 n . The formula C(n,j) was then given, without proof. The game of D4Cnr was brought up, with two alternative drawing procedures, and therefore two alternative tree diagrams. Leave a Comment ». Leave a Reply Cancel reply.

5

Course overview (2011) | :: Elementary Probability :::: engg2040,@cuhk ::

https://erg2040.wordpress.com/course-overview

Elementary Probability : : engg2040,@cuhk :. This course follows closely. By Grinstead and Snell (1997). Students are advised to read the relevant sections and attempt all recommended exercises. Along with the lectures. A complete GNU version of the text is also freely available at the book’s website. Students are strongly recommended to obtain a hardcopy for study. 12 lectures, 10 tutorials, 2 quizzes, 1 test);. Reading relevant sections of the textbook ( 200 pages, 50-70 pages/month);. Is scheduled on ...

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:: Elementary Probability :::: engg2040,@cuhk :: | Dr Ng's engg2040 blog at erg2040.wordpress.com

Elementary Probability : : engg2040,@cuhk :. Mean (Average or Expected Value) and Variance. 8212; waiyinng @ 9:45 am. Expected values and variance (ch6.1, 6.2; p.247: 6, 8, 14*, 15 , 17, 18, 23, 28*, 31*. Gambling and strategy analysis. Three games: (2) card collection; (1) record-breaking; (3) Pick-of-no-return. E(X) e.g. Bernoulli trials, R-till-E. E(f(X) e.g. payoff(strategy), St Petersburg Paradox. E(X 1 X 2) e.g. card collection; independent or not, e.g. record-breaking. E(XY) = E(X)E(Y) or not?

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