Probability & Inference

Resources:

• Probability:

  • A quick introduction: https://www.youtube.com/watch?v=Kgudt4PXs28&

  • A whole unit: https://www.ug.k12.wi.us/Page/2935 

  • https://www.helpingwithmath.com/printables/worksheets/statistics_probability/7sp5probability01.htm 

  • https://www.commoncoresheets.com/Probability.php 

  • https://www.education.com/worksheet/article/intro-to-probability-1/ 

  • https://www.education.com/worksheets/probability-and-statistics/ 

  • https://www.npsd.k12.nj.us/cms/lib04/NJ01001216/Centricity/Domain/113/5.1%20Intro%20to%20Probability%20Practice.pdf 

  • https://www.khanacademy.org/math/precalculus/x9e81a4f98389efdf:prob-comb/x9e81a4f98389efdf:basic-prob-precalc/e/probability_1 

  • https://www.khanacademy.org/math/statistics-probability/probability-library 

• Multiplying Combinations:

  • http://onlinestatbook.com/2/probability/permutations.html 

  • https://betterexplained.com/articles/how-to-understand-combinations-using-multiplication/ 

  • https://betterexplained.com/articles/why-do-we-multiply-combinations/ 

• Factorials:

  • https://www.khanacademy.org/partner-content/pixar/crowds/crowds2/e/calculating-factorials 

  • https://www.analyzemath.com/statistics/factorial.html 

  • https://study.com/academy/lesson/factorial-practice-problems.html 

  • https://www.ixl.com/math/grade-8/factorials 

  • https://www.purplemath.com/modules/factorial.htm 

  • https://www.ipracticemath.com/learn/numbersense/factorial 

• Contingency Tables:

  • https://www.ipracticemath.com/learn/numbersense/factorial 

  • https://www.youtube.com/watch?v=AELR4O5RVl4 

  • https://www.siyavula.com/read/maths/grade-11/probability/10-probability-05 

  • http://www.mathandstatistics.com/learn-stats/probability-and-percentage/using-contingency-tables-for-probability-and-dependence 

  • https://www.texasgateway.org/resource/34-contingency-tables 

  • This leads into conditional probability

• Conditional Probability:

  • https://www.mathgoodies.com/lessons/vol6/conditional 

  • https://www.khanacademy.org/math/ap-statistics/probability-ap/stats-conditional-probability/e/calculating-conditional-probability 

  • https://www.mathgoodies.com/lessons/vol6/conditional 

  • https://www.ixl.com/math/algebra-2/find-conditional-probabilities 

  • https://www.mathsisfun.com/data/probability-events-conditional.html 

  • http://www.ams.sunysb.edu/~jsbm/courses/311/conditioning.pdf 

  • https://www.onlinemathlearning.com/conditional-probability.html 

• Study Design (may also google "Experimental Design":

  • https://www.khanacademy.org/math/statistics-probability/designing-studies/sampling-and-surveys/a/simulations-and-randomness-random-digit-tables?modal=1 

  • https://www.khanacademy.org/math/statistics-probability/designing-studies/sampling-and-surveys/a/simulations-and-randomness-random-digit-tables?modal=1 

  • https://www.khanacademy.org/math/ap-statistics/gathering-data-ap/statistics-experiments/e/experiment-designs 

  • https://www.schurzhs.org/ourpages/auto/2015/10/23/45285316/SIN%20403-Identifying%20Variables%20_%20Designing%20Experiments.pdf 

• Law of Averages:

  • https://www.svds.com/law-of-averages/ 

• Chi Square Test (we are going basic with this hypothesis test, so keep that in mind):

  • https://www.biologyforlife.com/x2-test-for-independence.html 

  • http://www.bozemanscience.com/chi-squared-test 

  • https://www.shmoop.com/study-guides/biology/genetics/chi-squared-test 

  • https://www.khanacademy.org/math/statistics-probability/inference-categorical-data-chi-square-tests/chi-square-goodness-of-fit-tests/v/pearson-s-chi-square-test-goodness-of-fit https://www.youtube.com/watch?v=VskmMgXmkMQ 

  • https://www.mathsisfun.com/data/chi-square-test.html 

• Resources referenced for review in class:

  • https://www.onlinemathlearning.com/complementary-probability.html (do together)

  • https://www.cabarrus.k12.nc.us/cms/lib/NC01910456/Centricity/Domain/4633/Unions-and-intersections%20WS.pdf (printed)

  • https://www.math-only-math.com/worksheet-on-union-and-intersection-of-sets.html (can do as a class if time)

  • https://www.polk.k12.ga.us/userfiles/903/Classes/181111/Probability%20Work%20Sheet%201.pdf (general overview)

  • http://ptrckprry.com/course/ub0103/lecture/counting-sol.pdf 

  • http://math4yu.weebly.com/uploads/3/9/3/0/39302249/honors_notes_packet_-_probability.pdf 

  • https://courses.lumenlearning.com/introstats1/chapter/goodness-of-fit-test/ (X^2)

  • https://www2.southeastern.edu/Academics/Faculty/dgurney/Math241/TI8384Stats/GoodnessofFit.htm (X^2)