What Are the Chances? Probability Made Clear (The Great Courses)

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Life is full of probabilities. Every time you choose something to eat, you deal with probable effects on your health. Every time you drive your car, probability gives a small but measurable chance that you will have an accident. Every time you buy a stock, play poker, or make plans based on a weather forecast, […]

Edexcel GCE Mathematics: Statistics S2 (Anki)

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Anki is a flashcard tool which incorporates sophisticated research to maximize your study efficiency. You can import public “decks” of flashcards, such as this one. Cards are customizable! When this deck is imported into the desktop program, cards will appear as if you made them yourself. About this Flashcard Deck… A small deck covering the […]

Derivative applications (Khan Academy)

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The reason we study calculus, and the reason it was invented, is for its many uses in real-world problems. In particular, derivatives let us optimize functions and study their rates of change. Here we cover optimization, rates of change, L’Hopital’s rule, the mean value theorem, and more! (1) Equations of normal and tangent lines Equation […]

AP statistics practice (Khan Academy)

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We’ve partnered with a group of incredible teachers and students to bring you our first round of AP statistics practice items. Look forward to a much more full offering of learning and practice content in the not too distant future! (1) Analyzing categorical data Analyzing categorical data (2) Exploring bivariate numerical data Scatterplots & correlation […]

Inferential statistics (Khan Academy)

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Making inferences based on sample data. Confidence intervals. Margin of error. Hypothesis testing. (1) Normal distribution Introduction to the normal distribution Normal distribution excel exercise ck12.org normal distribution problems: Qualitative sense of normal distributions ck12.org normal distribution problems: Empirical rule ck12.org normal distribution problems: z-score ck12.org exercise: Standard normal distribution and the empirical rule Empirical […]

Random variables and probability distributions (Khan Academy)

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Random variables. Expected value. Probability distributions (both discrete and continuous). Binomial distribution. Poisson processes. (1) Random variables and probability distributions Random variables Discrete and continuous random variables Constructing a probability distribution for random variable Constructing probability distributions Probability density functions (2) Expected value Expected value Term life insurance and death probability Getting data from expected […]

Descriptive statistics (Khan Academy)

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Measures of central tendency and dispersion. Mean, median, mode, variance, and standard deviation. (1) Measures of central tendency Statistics intro: Mean, median, & mode Mean, median, & mode example Mean, median, and mode Comparing means of distributions Means and medians of different distributions Comparing data distributions Inferring population mean from sample mean (2) Box-and-whisker plots […]

Statistical studies (Khan Academy)

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(1) Types of statistical studies Types of statistical studies Correlation and causality Appropriate statistical study example Types of statistical studies (2) Hypothesis testing Simple hypothesis testing Simple hypothesis testing Statistical significance of experiment Statistical significance on bus speeds Hypothesis testing in experiments (3) Categorical data Categorical data example Interpreting two-way tables Analyzing trends in categorical […]

Probability and combinatorics (Khan Academy)

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Permutations and combinations. Using combinatorics to solve questions in probability. (1) Permutations Factorial and counting seat arrangements Permutation formula Possible three letter words Zero factorial or 0! Ways to arrange colors Ways to pick officers Permutations (2) Combinations Intro to combinations Combination formula Handshaking combinations Combination example: 9 card hands Combinations Permutations & combinations (3) […]

Independent and dependent events (Khan Academy)

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Introduction to probability. Independent and dependent events. Compound events. Mutual exclusive events. Addition rule for probability. (1) Basic probability Intro to theoretical probability Probability: the basics Subsets of sample spaces Subsets of sample spaces Simple probability: yellow marble Simple probability: non-blue marble Simple probability (2) Venn diagrams and adding probabilities Probability with venn diagrams Addition […]

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