{"id":753,"date":"2019-10-10T20:04:00","date_gmt":"2019-10-10T20:04:00","guid":{"rendered":"https:\/\/analystprep.com\/cfa-level-1-exam\/?p=753"},"modified":"2026-02-16T17:28:10","modified_gmt":"2026-02-16T17:28:10","slug":"probability-distributions-random-variables-types-examples","status":"publish","type":"post","link":"https:\/\/analystprep.com\/cfa-level-1-exam\/quantitative-methods\/probability-distributions-random-variables-types-examples\/","title":{"rendered":"Introduction to Probability Distributions, Probability Functions, and Types of Variables"},"content":{"rendered":"\n<script type=\"application\/ld+json\">\n{\n  \"@context\": \"https:\/\/schema.org\",\n  \"@type\": \"VideoObject\",\n  \"name\": \"Common Probability Distributions (2021 Level I CFA\u00ae Exam \u2013 Reading 9)\",\n  \"description\": \"This video lesson covers common probability distributions in quantitative methods, including discrete and continuous variables, cumulative distribution functions, binomial and normal distributions, safety-first criteria, Monte Carlo simulations, and more. It explains how these concepts apply to financial analysis, risk estimation, and portfolio evaluation using real-world examples and formulas.\",\n  \"uploadDate\": \"2019-12-18T00:00:00+00:00\",\n  \"thumbnailUrl\": \"https:\/\/img.youtube.com\/vi\/KbEfz3KiJDo\/maxresdefault.jpg\",\n  \"contentUrl\": \"https:\/\/www.youtube.com\/watch?v=KbEfz3KiJDo\",\n  \"embedUrl\": \"https:\/\/www.youtube.com\/embed\/KbEfz3KiJDo\",\n  \"duration\": \"PT45M31S\"\n}\n<\/script>\n<script type=\"application\/ld+json\">\n{\n  \"@context\": \"https:\/\/schema.org\",\n  \"@type\": \"ImageObject\",\n  \"@id\": \"https:\/\/analystprep.com\/cfa-level-1-exam\/images\/probability-distribution-page-104\",\n  \"url\": \"https:\/\/analystprep.com\/cfa-level-1-exam\/wp-content\/uploads\/2019\/10\/page-104.jpg\",\n  \"contentUrl\": \"https:\/\/analystprep.com\/cfa-level-1-exam\/wp-content\/uploads\/2019\/10\/page-104.jpg\",\n  \"caption\": \"Probability Distribution\",\n  \"width\": 1613,\n  \"height\": 964,\n  \"copyrightNotice\": \"\u00a9 2024 AnalystPrep\",\n  \"acquireLicensePage\": \"https:\/\/analystprep.com\/license-info\",\n  \"creditText\": \"AnalystPrep Design Team\",\n  \"creator\": {\n    \"@type\": \"Organization\",\n    \"name\": \"AnalystPrep\",\n    \"url\": \"https:\/\/analystprep.com\/\"\n  }\n}\n<\/script>\n\n\n\n<iframe loading=\"lazy\" width=\"560\" height=\"315\" src=\"https:\/\/www.youtube.com\/embed\/KbEfz3KiJDo?si=9B7Oa6gf0nmb4fe_\" title=\"YouTube video player\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share\" referrerpolicy=\"strict-origin-when-cross-origin\" allowfullscreen><\/iframe>\n\n\n<h2><strong>Probability Distribution<\/strong><\/h2>\n<p>The probability distribution of a random variable \u201cX\u201d is basically a <strong>graphical presentation<\/strong> of the probabilities of all possible outcomes of X. A random variable is any quantity for which more than one value is possible. An example of a random variable is the price of quoted stocks. Simply put, a probability distribution gathers all the outcomes and goes a step further to indicate the probability associated with each outcome. <!--more--><\/p>\n<a href=\"https:\/\/analystprep.com\/free-trial\/\"\n   target=\"_blank\"\n   rel=\"noopener noreferrer\"\n   style=\"display:block;margin:20px 0 28px;padding:14px 18px;border:2px solid #2563eb;border-radius:12px;text-align:center;color:#2563eb;text-decoration:none;font-weight:500;font-size:15px;background-color:#ffffff;\">\n   Practice probability distributions and random variable questions with CFA\u00ae-style problems.\n<\/a>\n<h3>Example: Probability Distribution<\/h3>\n<h3>What if we rolled a six-sided dice? The set of possible outcomes is:<\/h3>\n<p>{1\u00a0\u00a0 2\u00a0\u00a0 3\u00a0\u00a0 4\u00a0\u00a0 5\u00a0\u00a0 6}<\/p>\n<p>Each of these outcomes would occur with a probability of 1\/6 because each of them has an equal chance of occurring. Consequently, the probability distribution would be a straight line:<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-16968\" src=\"https:\/\/analystprep.com\/cfa-level-1-exam\/wp-content\/uploads\/2019\/10\/page-104.jpg\" alt=\"\" width=\"1613\" height=\"964\" srcset=\"https:\/\/analystprep.com\/cfa-level-1-exam\/wp-content\/uploads\/2019\/10\/page-104.jpg 1613w, https:\/\/analystprep.com\/cfa-level-1-exam\/wp-content\/uploads\/2019\/10\/page-104-300x179.jpg 300w, https:\/\/analystprep.com\/cfa-level-1-exam\/wp-content\/uploads\/2019\/10\/page-104-768x459.jpg 768w, https:\/\/analystprep.com\/cfa-level-1-exam\/wp-content\/uploads\/2019\/10\/page-104-1024x612.jpg 1024w, https:\/\/analystprep.com\/cfa-level-1-exam\/wp-content\/uploads\/2019\/10\/page-104-400x239.jpg 400w\" sizes=\"auto, (max-width: 1613px) 100vw, 1613px\" \/><\/p>\n<p><em>Note to candidates: although the above distribution is a straight line, most real life distributions are usually curved. The CFA curriculum particularly delves into the <strong>bell-shaped normal distribution<\/strong>.<\/em><\/p>\n<h2><strong>Discrete Random Variables<\/strong><\/h2>\n<p>A discrete random variable can take on a finite number of outcomes.<\/p>\n<p><strong>Examples<\/strong><\/p>\n<ol>\n<li>If we roll a dice, there are 6 possible outcomes. Therefore, the outcomes are discrete and random.<\/li>\n<li>The number of CFA finalists employed within a given year is a discrete random variable.<\/li>\n<\/ol>\n<h2><strong>Continuous Random Variables<\/strong><\/h2>\n<p>A continuous random variable is that which has an infinite number of possible outcomes. A good example can be the rate of return on a stock. For instance, the return can be 6% or between 6% and 7%, in which case it can take on 6.4%, 6.41%, 6.412%, or even 6.412325%, i.e., infinite values.<\/p>\n<h2><strong>Probability Function<\/strong><\/h2>\n<p>A probability function gives the probability of a random variable X taking on a value \u201cx.\u201d The probability functions of discrete and continuous random variables are slightly different.<\/p>\n<p>For a discrete random variable, the probability function, P(x), satisfies the properties below.<\/p>\n<ol>\n<li>P(X = x) = P(x)<br \/>In statistics, P(x) is said to be a probability mass function<\/li>\n<li>P(x) is always nonnegative for all x<\/li>\n<li>The sum of the probabilities of all possible outcomes = 1.<\/li>\n<\/ol>\n<p>For a continuous random variable, the probability function, f(x), satisfies the properties listed below.<\/p>\n<ol>\n<li>The probability that x is between two values, a and b is<br \/>$$ P\\left\\{ a\\le x\\le b \\right\\} =\\int _{ a }^{ b }{ f\\left( x \\right) dx } $$<br \/>f(x) is said to be a probability density function(pdf)<\/li>\n<li>f(x) is nonnegative for all x<\/li>\n<li>The integral of the probability function is 1, that is,<br \/>$$ \\int _{ -\\infty }^{ \\infty }{ f\\left( x \\right) dx=1 } $$<\/li>\n<\/ol>\n<p><em>Reading 9 LOS 9a:<\/em><\/p>\n<p><em>Define a probability distribution and distinguish between discrete and continuous random variables and their probability functions.<\/em><\/p>\n<div class=\"notes_inv\"><hr \/>\n<p><a href=\"https:\/\/analystprep.com\/cfa-level-1-exam\/quantitative-methods\/learning-sessions-curriculum\/\"><em>Quantitative Methods \u2013 Learning Sessions<\/em><\/a><\/p>\n<\/div>\n<div style=\"text-align:center; margin-top:32px;\">\n  <a href=\"https:\/\/analystprep.com\/free-trial\/\"\n     target=\"_blank\"\n     rel=\"noopener noreferrer\"\n     style=\"display:inline-block;padding:16px 40px;background-color:#2563eb;color:#ffffff;text-decoration:none;border-radius:14px;font-weight:700;font-size:17px;\">\n     Start Free Trial \u2192\n  <\/a>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Probability Distribution The probability distribution of a random variable \u201cX\u201d is basically a graphical presentation of the probabilities of all possible outcomes of X. A random variable is any quantity for which more than one value is possible. An example&#8230;<\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"footnotes":""},"categories":[2],"tags":[],"class_list":["post-753","post","type-post","status-publish","format-standard","hentry","category-quantitative-methods","blog-post","no-post-thumbnail","animate"],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v26.9 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Probability Distributions &amp; Variables | CFA Level 1<\/title>\n<meta name=\"description\" content=\"Learn about probability distributions, types of random variables, and how they represent possible outcomes in statistical analysis.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/analystprep.com\/cfa-level-1-exam\/quantitative-methods\/probability-distributions-random-variables-types-examples\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Probability Distributions &amp; Variables | CFA Level 1\" \/>\n<meta property=\"og:description\" content=\"Learn about probability distributions, types of random variables, and how they represent possible outcomes in statistical analysis.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/analystprep.com\/cfa-level-1-exam\/quantitative-methods\/probability-distributions-random-variables-types-examples\/\" \/>\n<meta property=\"og:site_name\" content=\"AnalystPrep | CFA\u00ae Exam Study Notes\" \/>\n<meta property=\"article:published_time\" content=\"2019-10-10T20:04:00+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2026-02-16T17:28:10+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/analystprep.com\/cfa-level-1-exam\/wp-content\/uploads\/2019\/10\/page-104.jpg\" \/>\n\t<meta property=\"og:image:width\" content=\"1613\" \/>\n\t<meta property=\"og:image:height\" content=\"964\" \/>\n\t<meta property=\"og:image:type\" content=\"image\/jpeg\" \/>\n<meta name=\"author\" content=\"Ngari Joseph\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Written by\" \/>\n\t<meta name=\"twitter:data1\" content=\"Ngari Joseph\" \/>\n\t<meta name=\"twitter:label2\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data2\" content=\"3 minutes\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"Article\",\"@id\":\"https:\/\/analystprep.com\/cfa-level-1-exam\/quantitative-methods\/probability-distributions-random-variables-types-examples\/#article\",\"isPartOf\":{\"@id\":\"https:\/\/analystprep.com\/cfa-level-1-exam\/quantitative-methods\/probability-distributions-random-variables-types-examples\/\"},\"author\":{\"name\":\"Ngari Joseph\",\"@id\":\"https:\/\/analystprep.com\/cfa-level-1-exam\/#\/schema\/person\/ddbf15286b86900dfa9f8ac2603c3914\"},\"headline\":\"Introduction to Probability Distributions, Probability Functions, and Types of Variables\",\"datePublished\":\"2019-10-10T20:04:00+00:00\",\"dateModified\":\"2026-02-16T17:28:10+00:00\",\"mainEntityOfPage\":{\"@id\":\"https:\/\/analystprep.com\/cfa-level-1-exam\/quantitative-methods\/probability-distributions-random-variables-types-examples\/\"},\"wordCount\":447,\"image\":{\"@id\":\"https:\/\/analystprep.com\/cfa-level-1-exam\/quantitative-methods\/probability-distributions-random-variables-types-examples\/#primaryimage\"},\"thumbnailUrl\":\"https:\/\/analystprep.com\/cfa-level-1-exam\/wp-content\/uploads\/2019\/10\/page-104.jpg\",\"articleSection\":[\"Quantitative Methods\"],\"inLanguage\":\"en-US\"},{\"@type\":\"WebPage\",\"@id\":\"https:\/\/analystprep.com\/cfa-level-1-exam\/quantitative-methods\/probability-distributions-random-variables-types-examples\/\",\"url\":\"https:\/\/analystprep.com\/cfa-level-1-exam\/quantitative-methods\/probability-distributions-random-variables-types-examples\/\",\"name\":\"Probability Distributions & Variables | CFA Level 1\",\"isPartOf\":{\"@id\":\"https:\/\/analystprep.com\/cfa-level-1-exam\/#website\"},\"primaryImageOfPage\":{\"@id\":\"https:\/\/analystprep.com\/cfa-level-1-exam\/quantitative-methods\/probability-distributions-random-variables-types-examples\/#primaryimage\"},\"image\":{\"@id\":\"https:\/\/analystprep.com\/cfa-level-1-exam\/quantitative-methods\/probability-distributions-random-variables-types-examples\/#primaryimage\"},\"thumbnailUrl\":\"https:\/\/analystprep.com\/cfa-level-1-exam\/wp-content\/uploads\/2019\/10\/page-104.jpg\",\"datePublished\":\"2019-10-10T20:04:00+00:00\",\"dateModified\":\"2026-02-16T17:28:10+00:00\",\"author\":{\"@id\":\"https:\/\/analystprep.com\/cfa-level-1-exam\/#\/schema\/person\/ddbf15286b86900dfa9f8ac2603c3914\"},\"description\":\"Learn about probability distributions, types of random variables, and how they represent possible outcomes in statistical analysis.\",\"breadcrumb\":{\"@id\":\"https:\/\/analystprep.com\/cfa-level-1-exam\/quantitative-methods\/probability-distributions-random-variables-types-examples\/#breadcrumb\"},\"inLanguage\":\"en-US\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/analystprep.com\/cfa-level-1-exam\/quantitative-methods\/probability-distributions-random-variables-types-examples\/\"]}]},{\"@type\":\"ImageObject\",\"inLanguage\":\"en-US\",\"@id\":\"https:\/\/analystprep.com\/cfa-level-1-exam\/quantitative-methods\/probability-distributions-random-variables-types-examples\/#primaryimage\",\"url\":\"https:\/\/analystprep.com\/cfa-level-1-exam\/wp-content\/uploads\/2019\/10\/page-104.jpg\",\"contentUrl\":\"https:\/\/analystprep.com\/cfa-level-1-exam\/wp-content\/uploads\/2019\/10\/page-104.jpg\",\"width\":1613,\"height\":964},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/analystprep.com\/cfa-level-1-exam\/quantitative-methods\/probability-distributions-random-variables-types-examples\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https:\/\/analystprep.com\/cfa-level-1-exam\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Introduction to Probability Distributions, Probability Functions, and Types of Variables\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/analystprep.com\/cfa-level-1-exam\/#website\",\"url\":\"https:\/\/analystprep.com\/cfa-level-1-exam\/\",\"name\":\"AnalystPrep | CFA\u00ae Exam Study Notes\",\"description\":\"\",\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/analystprep.com\/cfa-level-1-exam\/?s={search_term_string}\"},\"query-input\":{\"@type\":\"PropertyValueSpecification\",\"valueRequired\":true,\"valueName\":\"search_term_string\"}}],\"inLanguage\":\"en-US\"},{\"@type\":\"Person\",\"@id\":\"https:\/\/analystprep.com\/cfa-level-1-exam\/#\/schema\/person\/ddbf15286b86900dfa9f8ac2603c3914\",\"name\":\"Ngari Joseph\",\"image\":{\"@type\":\"ImageObject\",\"inLanguage\":\"en-US\",\"@id\":\"https:\/\/analystprep.com\/cfa-level-1-exam\/#\/schema\/person\/image\/\",\"url\":\"https:\/\/analystprep.com\/cfa-level-1-exam\/wp-content\/uploads\/2016\/08\/male3-512-150x150.png\",\"contentUrl\":\"https:\/\/analystprep.com\/cfa-level-1-exam\/wp-content\/uploads\/2016\/08\/male3-512-150x150.png\",\"caption\":\"Ngari Joseph\"},\"url\":\"https:\/\/analystprep.com\/cfa-level-1-exam\/author\/ngari-joseph\/\"}]}<\/script>\n<meta property=\"og:video\" content=\"https:\/\/www.youtube.com\/embed\/KbEfz3KiJDo\" \/>\n<meta property=\"og:video:type\" content=\"text\/html\" \/>\n<meta property=\"og:video:duration\" content=\"2732\" \/>\n<meta property=\"og:video:width\" content=\"480\" \/>\n<meta property=\"og:video:height\" content=\"270\" \/>\n<meta property=\"ya:ovs:adult\" content=\"false\" \/>\n<meta property=\"ya:ovs:upload_date\" content=\"2019-10-10T20:04:00+00:00\" \/>\n<meta property=\"ya:ovs:allow_embed\" content=\"true\" \/>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"Probability Distributions & Variables | CFA Level 1","description":"Learn about probability distributions, types of random variables, and how they represent possible outcomes in statistical analysis.","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/analystprep.com\/cfa-level-1-exam\/quantitative-methods\/probability-distributions-random-variables-types-examples\/","og_locale":"en_US","og_type":"article","og_title":"Probability Distributions & Variables | CFA Level 1","og_description":"Learn about probability distributions, types of random variables, and how they represent possible outcomes in statistical analysis.","og_url":"https:\/\/analystprep.com\/cfa-level-1-exam\/quantitative-methods\/probability-distributions-random-variables-types-examples\/","og_site_name":"AnalystPrep | CFA\u00ae Exam Study Notes","article_published_time":"2019-10-10T20:04:00+00:00","article_modified_time":"2026-02-16T17:28:10+00:00","og_image":[{"width":1613,"height":964,"url":"https:\/\/analystprep.com\/cfa-level-1-exam\/wp-content\/uploads\/2019\/10\/page-104.jpg","type":"image\/jpeg"}],"author":"Ngari Joseph","twitter_card":"summary_large_image","twitter_misc":{"Written by":"Ngari Joseph","Est. reading time":"3 minutes"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"Article","@id":"https:\/\/analystprep.com\/cfa-level-1-exam\/quantitative-methods\/probability-distributions-random-variables-types-examples\/#article","isPartOf":{"@id":"https:\/\/analystprep.com\/cfa-level-1-exam\/quantitative-methods\/probability-distributions-random-variables-types-examples\/"},"author":{"name":"Ngari Joseph","@id":"https:\/\/analystprep.com\/cfa-level-1-exam\/#\/schema\/person\/ddbf15286b86900dfa9f8ac2603c3914"},"headline":"Introduction to Probability Distributions, Probability Functions, and Types of Variables","datePublished":"2019-10-10T20:04:00+00:00","dateModified":"2026-02-16T17:28:10+00:00","mainEntityOfPage":{"@id":"https:\/\/analystprep.com\/cfa-level-1-exam\/quantitative-methods\/probability-distributions-random-variables-types-examples\/"},"wordCount":447,"image":{"@id":"https:\/\/analystprep.com\/cfa-level-1-exam\/quantitative-methods\/probability-distributions-random-variables-types-examples\/#primaryimage"},"thumbnailUrl":"https:\/\/analystprep.com\/cfa-level-1-exam\/wp-content\/uploads\/2019\/10\/page-104.jpg","articleSection":["Quantitative Methods"],"inLanguage":"en-US"},{"@type":"WebPage","@id":"https:\/\/analystprep.com\/cfa-level-1-exam\/quantitative-methods\/probability-distributions-random-variables-types-examples\/","url":"https:\/\/analystprep.com\/cfa-level-1-exam\/quantitative-methods\/probability-distributions-random-variables-types-examples\/","name":"Probability Distributions & Variables | CFA Level 1","isPartOf":{"@id":"https:\/\/analystprep.com\/cfa-level-1-exam\/#website"},"primaryImageOfPage":{"@id":"https:\/\/analystprep.com\/cfa-level-1-exam\/quantitative-methods\/probability-distributions-random-variables-types-examples\/#primaryimage"},"image":{"@id":"https:\/\/analystprep.com\/cfa-level-1-exam\/quantitative-methods\/probability-distributions-random-variables-types-examples\/#primaryimage"},"thumbnailUrl":"https:\/\/analystprep.com\/cfa-level-1-exam\/wp-content\/uploads\/2019\/10\/page-104.jpg","datePublished":"2019-10-10T20:04:00+00:00","dateModified":"2026-02-16T17:28:10+00:00","author":{"@id":"https:\/\/analystprep.com\/cfa-level-1-exam\/#\/schema\/person\/ddbf15286b86900dfa9f8ac2603c3914"},"description":"Learn about probability distributions, types of random variables, and how they represent possible outcomes in statistical analysis.","breadcrumb":{"@id":"https:\/\/analystprep.com\/cfa-level-1-exam\/quantitative-methods\/probability-distributions-random-variables-types-examples\/#breadcrumb"},"inLanguage":"en-US","potentialAction":[{"@type":"ReadAction","target":["https:\/\/analystprep.com\/cfa-level-1-exam\/quantitative-methods\/probability-distributions-random-variables-types-examples\/"]}]},{"@type":"ImageObject","inLanguage":"en-US","@id":"https:\/\/analystprep.com\/cfa-level-1-exam\/quantitative-methods\/probability-distributions-random-variables-types-examples\/#primaryimage","url":"https:\/\/analystprep.com\/cfa-level-1-exam\/wp-content\/uploads\/2019\/10\/page-104.jpg","contentUrl":"https:\/\/analystprep.com\/cfa-level-1-exam\/wp-content\/uploads\/2019\/10\/page-104.jpg","width":1613,"height":964},{"@type":"BreadcrumbList","@id":"https:\/\/analystprep.com\/cfa-level-1-exam\/quantitative-methods\/probability-distributions-random-variables-types-examples\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Home","item":"https:\/\/analystprep.com\/cfa-level-1-exam\/"},{"@type":"ListItem","position":2,"name":"Introduction to Probability Distributions, Probability Functions, and Types of Variables"}]},{"@type":"WebSite","@id":"https:\/\/analystprep.com\/cfa-level-1-exam\/#website","url":"https:\/\/analystprep.com\/cfa-level-1-exam\/","name":"AnalystPrep | CFA\u00ae Exam Study Notes","description":"","potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/analystprep.com\/cfa-level-1-exam\/?s={search_term_string}"},"query-input":{"@type":"PropertyValueSpecification","valueRequired":true,"valueName":"search_term_string"}}],"inLanguage":"en-US"},{"@type":"Person","@id":"https:\/\/analystprep.com\/cfa-level-1-exam\/#\/schema\/person\/ddbf15286b86900dfa9f8ac2603c3914","name":"Ngari Joseph","image":{"@type":"ImageObject","inLanguage":"en-US","@id":"https:\/\/analystprep.com\/cfa-level-1-exam\/#\/schema\/person\/image\/","url":"https:\/\/analystprep.com\/cfa-level-1-exam\/wp-content\/uploads\/2016\/08\/male3-512-150x150.png","contentUrl":"https:\/\/analystprep.com\/cfa-level-1-exam\/wp-content\/uploads\/2016\/08\/male3-512-150x150.png","caption":"Ngari Joseph"},"url":"https:\/\/analystprep.com\/cfa-level-1-exam\/author\/ngari-joseph\/"}]},"og_video":"https:\/\/www.youtube.com\/embed\/KbEfz3KiJDo","og_video_type":"text\/html","og_video_duration":"2732","og_video_width":"480","og_video_height":"270","ya_ovs_adult":"false","ya_ovs_upload_date":"2019-10-10T20:04:00+00:00","ya_ovs_allow_embed":"true"},"_links":{"self":[{"href":"https:\/\/analystprep.com\/cfa-level-1-exam\/wp-json\/wp\/v2\/posts\/753","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/analystprep.com\/cfa-level-1-exam\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/analystprep.com\/cfa-level-1-exam\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/analystprep.com\/cfa-level-1-exam\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/analystprep.com\/cfa-level-1-exam\/wp-json\/wp\/v2\/comments?post=753"}],"version-history":[{"count":26,"href":"https:\/\/analystprep.com\/cfa-level-1-exam\/wp-json\/wp\/v2\/posts\/753\/revisions"}],"predecessor-version":[{"id":58879,"href":"https:\/\/analystprep.com\/cfa-level-1-exam\/wp-json\/wp\/v2\/posts\/753\/revisions\/58879"}],"wp:attachment":[{"href":"https:\/\/analystprep.com\/cfa-level-1-exam\/wp-json\/wp\/v2\/media?parent=753"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/analystprep.com\/cfa-level-1-exam\/wp-json\/wp\/v2\/categories?post=753"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/analystprep.com\/cfa-level-1-exam\/wp-json\/wp\/v2\/tags?post=753"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}