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III Anticipating Patterns

 

 

A. Probability

 Monty Hall

http://www.stat.sc.edu/~west/javahtml/LetsMakeaDeal.html

1.  Interpret

 Venn Diagram

http://www.stat.tamu.edu/~west/applets/Venn.html
  Tree Diagram http://www.stat.tamu.edu/~west/applets/tree.html 

2.  Law of Large Numbers

 

 

3.   probability rules

 

 

        conditional probability

 

        independence

 

 

4.  Binomial

compare binom-normal

http://onlinestatbook.com/stat_sim/normal_approx/index.html

 

 

http://www.stat.sc.edu/~west/javahtml/CLT.html

  slide p from .1 to 9 explore n vrs prob http://www.stat.wvu.edu/SRS/Modules/NormalApprox/normalapprox.html
  Are you a psychic? http://www.stat.tamu.edu/~west/applets/psychictest.html 

     Geometric

 

 

5.  Simulation

 

 

 

pachinko & dice & coins

http://probability.ca/jeff/java/utday/   Good!

  m-m's  http://www.stat.tamu.edu/~west/applets/mandmtest.html 

 

family applet

http://www.stat.tamu.edu/~west/applets/familytest.html

6.  Expected Value,

 

 

       StDv Random Var

 

 

       Transformation of Random

 

 

B.  Combining Random Vars

 

 

1.  Independence/Dependent

 

 

2.  Mean/StdDv for sum/diff

 

 

C.  Normal,

 z-sigma

 http://www.stat.tamu.edu/~west/applets/normaldemo2.html

1. Properties

 empirical rule

http://www.stat.tamu.edu/~west/applets/empiricalrule.html

2. Tables

 

 

     

3.  Model for Measurements

 

 

D.  Sampling Distributions

 

 

1.  Sample Proportions

 Guess the Proportion Red/Black Card

http://www.stat.tamu.edu/~west/applets/cardtest.html

2.  Sample Mean

 

http://bcs.whfreeman.com/scc/content/cat_040/spt/CLT-SampleMean.html

  Tutorial http://wise.cgu.edu/sdmmod/ex1overview.asp

3.  CLT BEST BUY!

See CLT in action

http://onlinestatbook.com/stat_sim/sampling_dist/index.html  

  CLT (adjustable) http://intuitor.com/statistics/CentralLim.html 
  Single die http://www.stat.sc.edu/~west/javahtml/CLT.html

 

with multiple dice

http://www.math.csusb.edu/faculty/stanton/m262/central_limit_theorem/clt.html 

4.  Samp Dist diff of proportions

 

 

5.  Samp Dist diff of means

 

6.  Simulation of Samp Diff

 

 

7.  t-distribution

change df

http://www.stat.tamu.edu/~west/applets/tdemo1.html 

8.  chi-square distribution

 change df

http://www.stat.tamu.edu/~west/applets/chisqdemo1.html