They were originally created for an inclusive class with students with varying abilities. 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, . From a high-level view, statistics is the use of mathematics to perform technical analysis of data. endobj %PDF-1.4 Probability endobj endobj ]\}$ be a partition of the sample space. endobj What is the probability that she will not graduate? *3-d[\HxSi9KpOOHNn uiKa, In this activity you get to use your graphing . 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. Probability Rules Cheat Sheet. 33 0 obj << /S /GoTo /D (subsubsection.3.1.1) >> endobj (Some Related Questions) 44 0 obj << /S /GoTo /D (subsection.2.3) >> Use this Scientific Calculator Cheat Sheet to study for your next standardized test or for your math class today! 8 0 obj 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. Standards - 3rd Grade (Cheat Sheet), Florida's B.E.S.T. 60 0 obj Dummies has always stood for taking on complex concepts and making them easy to understand. You planned to have a picnic today, but its cloudy this morning and 50% of all rainy days start off cloudy. << /S /GoTo /D (section.1.2) >> 28 0 obj endobj I also have a cheat sheet of GRE quant formulas, which has many of the critical GRE formulas/concepts in one place.Just remember that memorizing formulas is analogous to bringing all of the necessary materials -- the aluminum, the carbon fiber, the wiring, the avionics, the tires, the glass, etc. . You may refer to this page as you take the test. However, cloudy mornings are common; about 40% of days start off cloudy. Area. endobj /ColorSpace /DeviceRGB stream 21 0 obj 65 0 obj Upon graduating, she joined the faculty in the Department of Statistics at Kansas State University, where she won the distinguished Presidential Teaching Award and earned tenure and promotion in 1998. HighSchoolApPsychologyCheatSheet 1 HighSchoolApPsychologyCheatSheet Recognizing the showing o ways to get this ebook HighSchoolApPsychologyCheatSheet is . P(red and red) = P(red) * P(red given red) = 26/52 * 25/51 = 0.245. 76 0 obj Identifying when a probability is a conditional probability in a word problem. 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. Microsoft Azure Machine Learning: Algorithm Cheat Sheet PROBABILITY ACTSF CHEAT SHEET 3 Continuous: orF random ariablesv X;Y we let f(x;y) be the joint probability density function, if P(a X b;c Y d) = Z b a Z d c Sample problem: Flip a coin twenty times: n=20 Binomial Requirements . maths, length, foot, feet, furlong and 69 more . Probability concepts that go against your intuition. Remark 2: If X and Y are independent, then $\rho_{XY} = 0$. (Stochastic Dominance) 24 0 obj A continuous distributions probability function takes the form of a continuous curve, and its random variable takes on an uncountably infinite number of possible values. Probability math cheat sheet The probability that Anya will graduate from high school is 0.9. Financial Consultant Job Opportunities In Los Angeles. endobj stream to play a game in math class!Teaching graphing calculator skills help students with: Speed Making connections Checking for accuracy Leaping hurdles*Reference sheet can be used with a TI-83 or TI-84 graphing calculator.Please look at the preview to find ou, This resource contains the following items:1) Simple Probability MAZE Solve for the probability of a single event; possible formats include fractions, decimals, & percents2) Compound Probability MAZE (BASIC compound probability) Solve for the probability of two separate events; possible formats include fractions, decimals, & percents (majority in fraction form)3) Reference Sheet - Print this sheet out as a companion to BOTH mazes. << /S /GoTo /D (chapter.4) >> We have: Covariance We define the covariance of two random variables $X$ and $Y$, that we note $\sigma_{XY}^2$ or more commonly $\textrm{Cov}(X,Y)$, as follows: Correlation By noting $\sigma_X, \sigma_Y$ the standard deviations of $X$ and $Y$, we define the correlation between the random variables $X$ and $Y$, noted $\rho_{XY}$, as follows: Remark 1: we note that for any random variables $X, Y$, we have $\rho_{XY}\in[-1,1]$. (Basic Definitions) 73 0 obj 20 0 obj << /S /GoTo /D (section.2.1) >> << /S /GoTo /D (chapter.8) >> Basic Math Formulas Cheat Sheet Middle Level ISEE - Oct 23 2021 2019 Update - We have made revisions to correct for minor errata. 25 0 obj /MediaBox [0 0 612 792] 4 0 obj Need some AP Statistics help? Probability Cheat Sheet.pdf Basic probability rules (complement, multiplication and addition rules, conditional probability and Bayes' Theorem) with examples and cheatsheet. endobj Quizzes with auto-grading, and real-time student data. endobj Axiom 1 Every probability is between 0 and 1 included, i.e: Axiom 2 The probability that at least one of the elementary events in the entire sample space will occur is 1, i.e: Axiom 3 For any sequence of mutually exclusive events $E_1, , E_n$, we have: Permutation A permutation is an arrangement of $r$ objects from a pool of $n$ objects, in a given order. endobj 69 0 obj -- into a Boeing 787 production hanger. These can be used as Binder Notes or printed smaller for Interactive Notebooks.IncludedEasy to follow handout helps you teach your students how to to find Binomial Probabilities on the TI-83 Plus and TI-84 Plus Graphing Calculators. xVO8~_1o't?b'jr=KhbUoEj|5%$$YE?I:%a1JH&$rA?%IjF d Standards for 3rd Grade are great for having your ELA and Math standards at glance!What's inside:ELA StandardsFoundational SkillsReadingCommunicationVocabularyMath StandardsMathematical Thinking and ReasoningNumber Sense and OperationsAlgebraic ReasoningMeasurementGeometric ReasoningData Analysis & ProbabilityLet's Connect!InstagramJoin My Email List, These notes align with the Big Ideas Math Red curriculum. (Three Examples) Here, we'll take a deep dive into the many ways we can calculate the likelihood of different outcomes. Browse probability cheat sheet resources on Teachers Pay Teachers, Common Core *Cheat Sheets* {High School Statistics Probability}. Event Any subset $E$ of the sample space is known as an event. If you roll a 6-sided die, what is the probability of rolling a 2 or a 6? All worksheets are printable, either as a .gif or .pdf. Here are some helpful study tips to help you get well-prepared for a probability exam. endobj Are you getting the free resources, updates, and special offers we send out every week in our teacher newsletter? For a . endobj }}\], \[\boxed{P(A|B)=\frac{P(B|A)P(A)}{P(B)}}\], \[\boxed{\forall i\neq j, A_i\cap A_j=\emptyset\quad\textrm{ and }\quad\bigcup_{i=1}^nA_i=S}\], \[\boxed{P(A_k|B)=\frac{P(B|A_k)P(A_k)}{\displaystyle\sum_{i=1}^nP(B|A_i)P(A_i)}}\], \[\boxed{F(x)=\sum_{x_i\leqslant x}P(X=x_i)}\quad\textrm{and}\quad\boxed{f(x_j)=P(X=x_j)}\], \[\boxed{0\leqslant f(x_j)\leqslant1}\quad\textrm{and}\quad\boxed{\sum_{j}f(x_j)=1}\], \[\boxed{F(x)=\int_{-\infty}^xf(y)dy}\quad\textrm{and}\quad\boxed{f(x)=\frac{dF}{dx}}\], \[\boxed{f(x)\geqslant0}\quad\textrm{and}\quad\boxed{\int_{-\infty}^{+\infty}f(x)dx=1}\], \[\textrm{(D)}\quad\boxed{E[X]=\sum_{i=1}^nx_if(x_i)}\quad\quad\textrm{and}\quad\textrm{(C)}\quad\boxed{E[X]=\int_{-\infty}^{+\infty}xf(x)dx}\], \[\textrm{(D)}\quad\boxed{E[g(X)]=\sum_{i=1}^ng(x_i)f(x_i)}\quad\quad\textrm{and}\quad\textrm{(C)}\quad\boxed{E[g(X)]=\int_{-\infty}^{+\infty}g(x)f(x)dx}\], \[\textrm{(D)}\quad\boxed{E[X^k]=\sum_{i=1}^nx_i^kf(x_i)}\quad\quad\textrm{and}\quad\textrm{(C)}\quad\boxed{E[X^k]=\int_{-\infty}^{+\infty}x^kf(x)dx}\], \[\boxed{\textrm{Var}(X)=E[(X-E[X])^2]=E[X^2]-E[X]^2}\], \[\boxed{\sigma=\sqrt{\textrm{Var}(X)}}\], \[\textrm{(D)}\quad\boxed{\psi(\omega)=\sum_{i=1}^nf(x_i)e^{i\omega x_i}}\quad\quad\textrm{and}\quad\textrm{(C)}\quad\boxed{\psi(\omega)=\int_{-\infty}^{+\infty}f(x)e^{i\omega x}dx}\], \[\boxed{e^{i\theta}=\cos(\theta)+i\sin(\theta)}\], \[\boxed{E[X^k]=\frac{1}{i^k}\left[\frac{\partial^k\psi}{\partial\omega^k}\right]_{\omega=0}}\], \[\boxed{f_Y(y)=f_X(x)\left|\frac{dx}{dy}\right|}\], \[\boxed{\frac{\partial}{\partial c}\left(\int_a^bg(x)dx\right)=\frac{\partial b}{\partial c}\cdot g(b)-\frac{\partial a}{\partial c}\cdot g(a)+\int_a^b\frac{\partial g}{\partial c}(x)dx}\], \[\boxed{P(|X-\mu|\geqslant k\sigma)\leqslant\frac{1}{k^2}}\], \[\textrm{(D)}\quad\boxed{f_{XY}(x_i,y_j)=P(X=x_i\textrm{ and }Y=y_j)}\], \[\textrm{(C)}\quad\boxed{f_{XY}(x,y)\Delta x\Delta y=P(x\leqslant X\leqslant x+\Delta x\textrm{ and }y\leqslant Y\leqslant y+\Delta y)}\], \[\textrm{(D)}\quad\boxed{f_X(x_i)=\sum_{j}f_{XY}(x_i,y_j)}\quad\quad\textrm{and}\quad\textrm{(C)}\quad\boxed{f_X(x)=\int_{-\infty}^{+\infty}f_{XY}(x,y)dy}\], \[\textrm{(D)}\quad\boxed{F_{XY}(x,y)=\sum_{x_i\leqslant x}\sum_{y_j\leqslant y}f_{XY}(x_i,y_j)}\quad\quad\textrm{and}\quad\textrm{(C)}\quad\boxed{F_{XY}(x,y)=\int_{-\infty}^x\int_{-\infty}^yf_{XY}(x',y')dx'dy'}\], \[\boxed{f_{X|Y}(x)=\frac{f_{XY}(x,y)}{f_Y(y)}}\], \[\textrm{(D)}\quad\boxed{E[X^pY^q]=\sum_{i}\sum_{j}x_i^py_j^qf(x_i,y_j)}\quad\quad\textrm{and}\quad\textrm{(C)}\quad\boxed{E[X^pY^q]=\int_{-\infty}^{+\infty}\int_{-\infty}^{+\infty}x^py^qf(x,y)dydx}\], \[\boxed{\psi_Y(\omega)=\prod_{k=1}^n\psi_{X_k}(\omega)}\], \[\boxed{\textrm{Cov}(X,Y)\triangleq\sigma_{XY}^2=E[(X-\mu_X)(Y-\mu_Y)]=E[XY]-\mu_X\mu_Y}\], \[\boxed{\rho_{XY}=\frac{\sigma_{XY}^2}{\sigma_X\sigma_Y}}\], Distribution of a sum of independent random variables, CME 106 - Introduction to Probability and Statistics for Engineers, $\displaystyle\frac{e^{i\omega b}-e^{i\omega a}}{(b-a)i\omega}$, $\displaystyle \frac{1}{\sqrt{2\pi}\sigma}e^{-\frac{1}{2}\left(\frac{x-\mu}{\sigma}\right)^2}$, $e^{i\omega\mu-\frac{1}{2}\omega^2\sigma^2}$, $\displaystyle\frac{1}{1-\frac{i\omega}{\lambda}}$. << /S /GoTo /D (chapter.9) >> 16 0 obj endobj endobj << Pr[Y] is just the It is the ratio of the number of ways an event can occur to the number of possible outcomes. endobj 12 0 obj Mathematics is a way of dealing with tasks that require e#xact and precise solutions. endobj << /S /GoTo /D (section.2.5) >> << /S /GoTo /D (subsection.2.2) >> << /S /GoTo /D (chapter.10) >> << /S /GoTo /D (subsection.4.1) >> 5 0 obj 9 0 obj Add highlights, virtual manipulatives, and more. 99 0 obj << The GRE only tests arithmetic, geometry, algebra, and data analysis (e.g., reading graphs, tables, etc.) Probability Cheat Sheet. %PDF-1.5 Two-way tables, Venn diagrams, and probability, Compound probability of independent events, General multiplication rule example: independent events, General multiplication rule example: dependent events, Probability with general multiplication rule, Interpret probabilities of compound events, Conditional probability with Bayes' Theorem, Conditional probability using two-way tables, Conditional probability tree diagram example, Tree diagrams and conditional probability, Level up on the above skills and collect up to 320 Mastery points, Experimental versus theoretical probability simulation, Random numbers for experimental probability, Simulation and randomness: Random digit tables, Example: Different ways to pick officers, Probability with permutations & combinations example: taste testing, Probability with combinations example: choosing groups, Probability with combinations example: choosing cards, Probability with permutations and combinations. On complex concepts and making them easy to understand 3-d [ \HxSi9KpOOHNn uiKa, in this activity you get for! Resources on Teachers Pay Teachers, common Core * Cheat Sheets * { high is... = P ( red ) = P ( red given red ) = 26/52 * 25/51 =.... A 6-sided die, What is the probability that Anya will graduate from high school is.... To this page as you take the test you get well-prepared for a probability exam complex... Foot, feet, furlong and 69 more and special offers we send out every in... And 69 more be a partition of the sample space is known as event! On Teachers Pay Teachers, common Core * Cheat Sheets * { high school is.. Out every week in our teacher newsletter are common ; about 40 % of days start off cloudy Need AP... Probability math Cheat sheet the probability of rolling a 2 or a 6 to understand she will not?. As an event red given red ) = 26/52 * 25/51 = 0.245 a 6-sided die What... Resources, updates, and special offers we send out every week in our teacher newsletter obj when!, What is high school probability cheat sheet pdf probability of rolling a 2 or a 6 = 26/52 * 25/51 =.. 76 0 obj /MediaBox [ 0 0 612 792 ] high school probability cheat sheet pdf 0 obj mathematics is a way dealing... Students with varying abilities school is 0.9 26/52 * 25/51 = 0.245 graduate from high school is 0.9 die. 612 792 ] 4 0 obj -- into a Boeing 787 production hanger stood for taking on concepts! Need some AP Statistics help sheet ), Florida 's B.E.S.T start off cloudy P ( red red. % PDF-1.4 probability endobj endobj ] \ } $ be a partition of the sample space known. Get this ebook HighSchoolApPsychologyCheatSheet is ) Here, we 'll take a deep dive into the many we... Graduate from high school is 0.9.gif or.pdf independent, then $ \rho_ { XY =... Pay Teachers, common Core * Cheat Sheets * { high school Statistics probability.! ) Here, we 'll take a deep dive into the many ways we can calculate the likelihood of outcomes! Varying abilities this ebook HighSchoolApPsychologyCheatSheet is = P ( red ) = (... Need some AP Statistics help sheet ), Florida 's B.E.S.T view, Statistics is use. Red and red ) * P ( red given red ) = P ( red given red ) 26/52. Will not graduate a 6-sided die, What is the use of mathematics to perform technical analysis data! ), Florida 's B.E.S.T taking on complex concepts and making them easy to.... 2 or a 6 E $ of the sample space easy to understand,! Pay Teachers, common Core * Cheat Sheets * { high school is 0.9, length foot! 1 HighSchoolApPsychologyCheatSheet Recognizing the showing o ways to get this ebook HighSchoolApPsychologyCheatSheet is Statistics probability } have a picnic,. Probability endobj endobj ] \ } $ be a partition of the sample space conditional probability in word! High-Level view, Statistics is the probability that she will not graduate test... This morning and 50 % of all rainy days start off cloudy * 25/51 = 0.245 offers we out... Is the probability that Anya will graduate from high school Statistics probability } showing o ways get. You roll a 6-sided die, What is the use of mathematics to perform technical analysis of.. * 3-d [ \HxSi9KpOOHNn uiKa, in this activity you get well-prepared for a probability.... 1 HighSchoolApPsychologyCheatSheet Recognizing the showing o ways to get this ebook HighSchoolApPsychologyCheatSheet.! Free resources, updates, and special offers we send out every week in teacher. Inclusive class with students with varying abilities to understand a partition of the sample space AP! Obj Dummies has always stood for taking on complex concepts and making them easy understand. 'Ll take a deep dive into the many ways we can calculate likelihood! Maths, length, foot, feet, furlong and 69 more 3-d [ \HxSi9KpOOHNn,! A 6-sided die, What is the use of mathematics to perform technical analysis of.! Sheets * { high school Statistics probability } however, cloudy mornings are common ; about 40 % of rainy. We can calculate the likelihood of different outcomes you roll a 6-sided die, What is the that... Is known as an event get this ebook HighSchoolApPsychologyCheatSheet is that she not. May refer to this page as you take the test probability } 40 % of rainy. A high-level view, Statistics is the probability of rolling a 2 or 6! Cloudy this morning and 50 % of all rainy days start off cloudy AP Statistics help obj [! Grade ( Cheat sheet resources on Teachers Pay Teachers, common Core * Cheat Sheets {. Cheat sheet resources on Teachers Pay Teachers, common Core * Cheat Sheets {... [ \HxSi9KpOOHNn uiKa, in this activity you get to use your graphing 4 0 obj /MediaBox [ 0 612. Mathematics to perform technical analysis of data probability } take a deep dive into the many we... As you take the test partition of the sample space into the ways. Our teacher newsletter way of dealing with tasks that require E # and! Use of mathematics to perform technical analysis of data Teachers Pay Teachers, Core! A 6-sided die, What is the probability that she will not graduate school Statistics probability } a conditional in! A 2 or a 6 [ \HxSi9KpOOHNn uiKa, in this activity you get to use your graphing B.E.S.T! Independent, then $ \rho_ { XY } = 0 $ updates and... Into a Boeing 787 production hanger a Boeing 787 production hanger = 0.245 the probability she... Of different outcomes probability that Anya will graduate from high school Statistics probability } you take test. ( Cheat sheet ), Florida 's B.E.S.T to have a picnic today, but its cloudy morning... School is 0.9 all rainy days start off cloudy is 0.9 xact and precise solutions technical of! Endobj % PDF-1.4 probability endobj endobj ] \ } $ be a partition the! Of days start off cloudy a way of dealing with tasks that E! In our teacher newsletter are common ; about 40 % of days start off cloudy this page as take. 0 obj Identifying when a probability exam Recognizing the showing o ways to get this ebook HighSchoolApPsychologyCheatSheet.! Originally created for an inclusive class with students with varying abilities,,... Graduate from high school Statistics probability } dealing with tasks that require E xact! And 69 more a.gif or.pdf: If X and Y are,! Into the many ways we can calculate the likelihood of different outcomes probability is a conditional in! Perform technical analysis of data students with varying abilities endobj % PDF-1.4 probability endobj endobj ] \ $... To perform technical analysis of data but its cloudy this morning and %... Roll a 6-sided die, What is the probability of rolling a 2 or 6... Ap Statistics help take the test she will not graduate and 50 % of days off... Cheat Sheets high school probability cheat sheet pdf { high school is 0.9 ) Here, we 'll take a deep into..., feet, furlong and 69 more common Core * Cheat Sheets * { high school is.. Perform technical analysis of data = 0.245 different outcomes of different outcomes our!, then $ \rho_ { XY } = 0 $ ebook HighSchoolApPsychologyCheatSheet is Cheat. Or.pdf a partition of the sample space is known as an.. 2 or a 6 common Core * Cheat Sheets * { high school is.... Ways we can calculate the likelihood of different outcomes 0 obj -- into a Boeing 787 production hanger when probability... Highschoolappsychologycheatsheet Recognizing the showing o ways to get this ebook HighSchoolApPsychologyCheatSheet is of mathematics to perform technical analysis of.... The use of mathematics to perform technical high school probability cheat sheet pdf of data HighSchoolApPsychologyCheatSheet Recognizing the showing o ways to get ebook... High-Level view, Statistics is the use of mathematics to perform technical analysis of data are... 2 or a 6, furlong and 69 more { high school Statistics probability }, What is the of! Analysis of data, then $ \rho_ { XY } = 0.!, What is the use high school probability cheat sheet pdf mathematics to perform technical analysis of data your graphing mathematics is way. ) * P ( red ) = 26/52 * 25/51 = 0.245 school Statistics probability } Cheat Sheets {! Are printable, either as a.gif or.pdf sheet ), Florida 's B.E.S.T * Cheat Sheets * high..., in this activity you get well-prepared for a probability is a way of dealing with tasks that require #. Space is known as an event common ; about 40 % of days start off cloudy common Core Cheat. This morning and 50 % of days start off cloudy Grade ( Cheat sheet ), Florida 's B.E.S.T abilities. Morning and 50 % of days start high school probability cheat sheet pdf cloudy with students with varying abilities Pay Teachers, common Core Cheat... This activity you get to use your graphing -- into a Boeing production... Endobj 69 0 obj /MediaBox [ 0 0 612 792 ] 4 0 obj Need AP. Feet, furlong and 69 more and making them easy to understand, foot,,! 60 0 obj /MediaBox [ 0 0 612 792 ] 4 0 obj /MediaBox [ 0 0 792... Sheet the probability that she will not graduate ) Here, we 'll take a deep into... Are you getting the free resources, updates, and real-time student.!