For $k, \sigma>0$, we have the following inequality: Discrete distributions Here are the main discrete distributions to have in mind: Continuous distributions Here are the main continuous distributions to have in mind: Joint probability density function The joint probability density function of two random variables $X$ and $Y$, that we note $f_{XY}$, is defined as follows: Marginal density We define the marginal density for the variable $X$ as follows: Cumulative distribution We define cumulative distrubution $F_{XY}$ as follows: Conditional density The conditional density of $X$ with respect to $Y$, often noted $f_{X|Y}$, is defined as follows: Independence Two random variables $X$ and $Y$ are said to be independent if we have: Moments of joint distributions We define the moments of joint distributions of random variables $X$ and $Y$ as follows: Distribution of a sum of independent random variables Let $Y=X_1++X_n$ with $X_1, , X_n$ independent. We assume that variables can only take one event and not two or more at the same . << /S /GoTo /D (subsection.1.7) >> When you work with continuous probability distributions, the functions can take many forms. << /S /GoTo /D (subsection.1.1) >> Each cheat sheet covers the summary of concepts and the most important formulas related to the particular chapter in a single page. endobj Quadratic Functions Math 54 Cheat Sheet Vector spaces Subspace: If u and v are in W, then u + v are in W, and cu is in W Nul(A): Solutions of Ax = 0. 13 0 obj endobj She is the author of Statistics For Dummies, Statistics II For Dummies, Statistics Workbook For Dummies, and Probability For Dummies. ","hasArticle":false,"_links":{"self":"https://dummies-api.dummies.com/v2/authors/9121"}}],"_links":{"self":"https://dummies-api.dummies.com/v2/books/"}},"collections":[],"articleAds":{"footerAd":"
","rightAd":""},"articleType":{"articleType":"Cheat Sheet","articleList":[{"articleId":188346,"title":"Principles of Probability","slug":"principles-of-probability","categoryList":["academics-the-arts","math","statistics"],"_links":{"self":"https://dummies-api.dummies.com/v2/articles/188346"}},{"articleId":188347,"title":"Discrete Probability Distributions","slug":"discrete-probability-distributions","categoryList":["academics-the-arts","math","statistics"],"_links":{"self":"https://dummies-api.dummies.com/v2/articles/188347"}},{"articleId":188345,"title":"Continuous Probability Distributions","slug":"continuous-probability-distributions","categoryList":["academics-the-arts","math","statistics"],"_links":{"self":"https://dummies-api.dummies.com/v2/articles/188345"}},{"articleId":188344,"title":"Probability Study Tips","slug":"probability-study-tips","categoryList":["academics-the-arts","math","statistics"],"_links":{"self":"https://dummies-api.dummies.com/v2/articles/188344"}}],"content":[{"title":"Principles of probability","thumb":null,"image":null,"content":"The mathematics field of probability has its own rules, definitions, and laws, which you can use to find the probability of outcomes, events, or combinations of outcomes and events.
\nTo determine probability, you need to add or subtract, multiply or divide the probabilities of the original outcomes and events. Tree Diagram. The Absolute Best Book to Ace the GED Math Test GED Math for Beginners 2023 The Ultimate Step by Step Guide to Preparing for the GED Math Test Download $ 28.99 $ 14 .99 Rated 4.33 out of 5 based on customer ratings GED Math Cheat Sheet Fractions A number expressed in the form a b Adding and Subtracting with the same denominator: a b + c b = a + c b endobj PROBABILITY CHEAT SHEET. ChatGPT cheat sheet: Complete guide for 2023. by Megan Crouse in Artificial Intelligence. Basic Math Formulas Cheat Sheet Middle Level ISEE - Oct 23 2021 2019 Update - We have made revisions to correct for minor errata. You can then utilize the results to create a personalized study plan that is based on your particular area of need. << /S /GoTo /D (subsection.1.2) >> )(#NEhxF#I6ATE]p *Q=VpJ90JrcLywYuv&$i.JQBR]"z(Hyy:Bx|e5/6u+}i> q*5*C 5 0 obj 101 0 obj << . That means you can enumerate or make a listing of all possible values, such as 1, 2, 3, 4, 5, 6 or 1, 2, 3, . However, some of the formulas may not be used. endobj endobj 53 0 obj If you're seeing this message, it means we're having trouble loading external resources on our website. endobj endobj By entering your email address and clicking the Submit button, you agree to the Terms of Use and Privacy Policy & to receive electronic communications from Dummies.com, which may include marketing promotions, news and updates. They have a high probability of being on the exam.
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The relationship between mutually exclusive and independent events
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Identifying when a probability is a conditional probability in a word problem
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Probability concepts that go against your intuition
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Marginal, conditional, and joint probabilities for a two-way table
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The Central Limit Theorem:
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When to use a permutation and when to use a combination
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Finding E(X) from scratch and interpreting it
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Sampling with replacement versus without replacement
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The Law of Total Probability and Bayes’ Theorem
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When the Poisson and exponential are needed in the same problem
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