{"id":20318,"date":"2024-04-15T05:51:17","date_gmt":"2024-04-15T05:51:17","guid":{"rendered":"https:\/\/exam.pscnotes.com\/mcq\/?p=20318"},"modified":"2024-04-15T05:51:17","modified_gmt":"2024-04-15T05:51:17","slug":"if-fx-and-gx-are-two-probability-density-functions-textfleft-textx-right-left-beginarray20c-fractextxtexta-1-texta-leqs","status":"publish","type":"post","link":"https:\/\/exam.pscnotes.com\/mcq\/if-fx-and-gx-are-two-probability-density-functions-textfleft-textx-right-left-beginarray20c-fractextxtexta-1-texta-leqs\/","title":{"rendered":"If f(x) and g(x) are two probability density functions, \\[{\\text{f}}\\left( {\\text{x}} \\right) = \\left\\{ {\\begin{array}{*{20}{c}} {\\frac{{\\text{x}}}{{\\text{a}}} + 1}&:&{ – {\\text{a}} \\leqslant {\\text{x}} < 0} \\\\ { - \\frac{{\\text{x}}}{{\\text{a}}} + 1}&:&{0 \\leqslant {\\text{x}} \\leqslant {\\text{a}}} \\\\ 0&:&{{\\text{otherwise}}} \\end{array}} \\right.;\\,\\,{\\text{g}}\\left( {\\text{x}} \\right) = \\left\\{ {\\begin{array}{*{20}{c}} { - \\frac{{\\text{x}}}{{\\text{a}}}}&:&{ - {\\text{a}} \\leqslant {\\text{x}} < 0} \\\\ {\\frac{{\\text{x}}}{{\\text{a}}}}&:&{0 \\leqslant {\\text{x}} \\leqslant {\\text{a}}} \\\\ 0&:&{{\\text{otherwise}}} \\end{array}} \\right.\\] Which one of the following statements is true? A. Mean of f(x) and g(x) are same; Variance of f(x) and g(x) are same B. Mean of f(x) and g(x) are same; Variance of f(x) and g(x) are different C. Mean of f(x) and g(x) are different; Variance of f(x) and g(x) are same D. Mean of f(x) and g(x) are different; Variance of f(x) and g(x) are different"},"content":{"rendered":"

[amp_mcq option1=”Mean of f(x) and g(x) are same; Variance of f(x) and g(x) are same” option2=”Mean of f(x) and g(x) are same; Variance of f(x) and g(x) are different” option3=”Mean of f(x) and g(x) are different; Variance of f(x) and g(x) are same” option4=”Mean of f(x) and g(x) are different; Variance of f(x) and g(x) are different” correct=”option3″]<\/p>\n

The correct answer is: C. Mean of f(x) and g(x) are different; Variance of f(x) and g(x) are same.<\/strong><\/p>\n

The mean of a probability density function is given by:<\/p>\n

$$\\mu = \\int_{-\\infty}^{\\infty} x f(x) dx$$<\/p>\n

The variance of a probability density function is given by:<\/p>\n

$$\\sigma^2 = \\int_{-\\infty}^{\\infty} (x – \\mu)^2 f(x) dx$$<\/p>\n

For $f(x)$ and $g(x)$ as given in the question, we have:<\/p>\n

$$\\mu_f = \\int_{-a}^0 x \\frac{x}{a} + 1 dx = \\frac{a^2}{4} + 0 = \\frac{a^2}{4}$$<\/p>\n

$$\\mu_g = \\int_{-a}^0 x \\frac{-x}{a} + 1 dx = -\\frac{a^2}{4} + 0 = -\\frac{a^2}{4}$$<\/p>\n

Therefore, $\\mu_f \\neq \\mu_g$.<\/p>\n

The variance of $f(x)$ is given by:<\/p>\n

$$\\sigma^2_f = \\int_{-a}^0 (x – \\mu_f)^2 \\frac{x}{a} + 1 dx = \\frac{a^4}{16} + 0 = \\frac{a^4}{16}$$<\/p>\n

The variance of $g(x)$ is given by:<\/p>\n

$$\\sigma^2_g = \\int_{-a}^0 (x – \\mu_g)^2 \\frac{-x}{a} + 1 dx = \\frac{a^4}{16} + 0 = \\frac{a^4}{16}$$<\/p>\n

Therefore, $\\sigma^2_f = \\sigma^2_g$.<\/p>\n

Therefore, the mean of $f(x)$ and $g(x)$ are different, but the variance of $f(x)$ and $g(x)$ are the same.<\/p>\n","protected":false},"excerpt":{"rendered":"

[amp_mcq option1=”Mean of f(x) and g(x) are same; Variance of f(x) and g(x) are same” option2=”Mean of f(x) and g(x) are same; Variance of f(x) and g(x) are different” option3=”Mean of f(x) and g(x) are different; Variance of f(x) and g(x) are same” option4=”Mean of f(x) and g(x) are different; Variance of f(x) and g(x) … <\/p>\n

Detailed SolutionIf f(x) and g(x) are two probability density functions, \\[{\\text{f}}\\left( {\\text{x}} \\right) = \\left\\{ {\\begin{array}{*{20}{c}} {\\frac{{\\text{x}}}{{\\text{a}}} + 1}&:&{ – {\\text{a}} \\leqslant {\\text{x}} < 0} \\\\ { - \\frac{{\\text{x}}}{{\\text{a}}} + 1}&:&{0 \\leqslant {\\text{x}} \\leqslant {\\text{a}}} \\\\ 0&:&{{\\text{otherwise}}} \\end{array}} \\right.;\\,\\,{\\text{g}}\\left( {\\text{x}} \\right) = \\left\\{ {\\begin{array}{*{20}{c}} { - \\frac{{\\text{x}}}{{\\text{a}}}}&:&{ - {\\text{a}} \\leqslant {\\text{x}} < 0} \\\\ {\\frac{{\\text{x}}}{{\\text{a}}}}&:&{0 \\leqslant {\\text{x}} \\leqslant {\\text{a}}} \\\\ 0&:&{{\\text{otherwise}}} \\end{array}} \\right.\\] Which one of the following statements is true? A. Mean of f(x) and g(x) are same; Variance of f(x) and g(x) are same B. Mean of f(x) and g(x) are same; Variance of f(x) and g(x) are different C. Mean of f(x) and g(x) are different; Variance of f(x) and g(x) are same D. Mean of f(x) and g(x) are different; Variance of f(x) and g(x) are different<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[691],"tags":[],"class_list":["post-20318","post","type-post","status-publish","format-standard","hentry","category-probability-and-statistics","no-featured-image-padding"],"yoast_head":"\nIf f(x) and g(x) are two probability density functions, \\[{\\text{f}}\\left( {\\text{x}} \\right) = \\left\\{ {\\begin{array}{*{20}{c}} {\\frac{{\\text{x}}}{{\\text{a}}} + 1}&:&{ - {\\text{a}} \\leqslant {\\text{x}} < 0} \\\\ { - \\frac{{\\text{x}}}{{\\text{a}}} + 1}&:&{0 \\leqslant {\\text{x}} \\leqslant {\\text{a}}} \\\\ 0&:&{{\\text{otherwise}}} \\end{array}} \\right.;\\,\\,{\\text{g}}\\left( {\\text{x}} \\right) = \\left\\{ {\\begin{array}{*{20}{c}} { - \\frac{{\\text{x}}}{{\\text{a}}}}&:&{ - {\\text{a}} \\leqslant {\\text{x}} < 0} \\\\ {\\frac{{\\text{x}}}{{\\text{a}}}}&:&{0 \\leqslant {\\text{x}} \\leqslant {\\text{a}}} \\\\ 0&:&{{\\text{otherwise}}} \\end{array}} \\right.\\] Which one of the following statements is true? A. Mean of f(x) and g(x) are same; Variance of f(x) and g(x) are same B. Mean of f(x) and g(x) are same; Variance of f(x) and g(x) are different C. Mean of f(x) and g(x) are different; Variance of f(x) and g(x) are same D. Mean of f(x) and g(x) are different; Variance of f(x) and g(x) are different<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/exam.pscnotes.com\/mcq\/if-fx-and-gx-are-two-probability-density-functions-textfleft-textx-right-left-beginarray20c-fractextxtexta-1-texta-leqs\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"If f(x) and g(x) are two probability density functions, \\[{\\text{f}}\\left( {\\text{x}} \\right) = \\left\\{ {\\begin{array}{*{20}{c}} {\\frac{{\\text{x}}}{{\\text{a}}} + 1}&:&{ - {\\text{a}} \\leqslant {\\text{x}} < 0} \\\\ { - \\frac{{\\text{x}}}{{\\text{a}}} + 1}&:&{0 \\leqslant {\\text{x}} \\leqslant {\\text{a}}} \\\\ 0&:&{{\\text{otherwise}}} \\end{array}} \\right.;\\,\\,{\\text{g}}\\left( {\\text{x}} \\right) = \\left\\{ {\\begin{array}{*{20}{c}} { - \\frac{{\\text{x}}}{{\\text{a}}}}&:&{ - {\\text{a}} \\leqslant {\\text{x}} < 0} \\\\ {\\frac{{\\text{x}}}{{\\text{a}}}}&:&{0 \\leqslant {\\text{x}} \\leqslant {\\text{a}}} \\\\ 0&:&{{\\text{otherwise}}} \\end{array}} \\right.\\] Which one of the following statements is true? A. Mean of f(x) and g(x) are same; Variance of f(x) and g(x) are same B. Mean of f(x) and g(x) are same; Variance of f(x) and g(x) are different C. Mean of f(x) and g(x) are different; Variance of f(x) and g(x) are same D. Mean of f(x) and g(x) are different; Variance of f(x) and g(x) are different\" \/>\n<meta property=\"og:description\" content=\"[amp_mcq option1=”Mean of f(x) and g(x) are same; Variance of f(x) and g(x) are same” option2=”Mean of f(x) and g(x) are same; Variance of f(x) and g(x) are different” option3=”Mean of f(x) and g(x) are different; Variance of f(x) and g(x) are same” option4=”Mean of f(x) and g(x) are different; Variance of f(x) and g(x) ... Detailed SolutionIf f(x) and g(x) are two probability density functions, [{text{f}}left( {text{x}} right) = left{ {begin{array}{*{20}{c}} {frac{{text{x}}}{{text{a}}} + 1}&:&{ – {text{a}} leqslant {text{x}} < 0} \\ { - frac{{text{x}}}{{text{a}}} + 1}&:&{0 leqslant {text{x}} leqslant {text{a}}} \\ 0&:&{{text{otherwise}}} end{array}} right.;,,{text{g}}left( {text{x}} right) = left{ {begin{array}{*{20}{c}} { - frac{{text{x}}}{{text{a}}}}&:&{ - {text{a}} leqslant {text{x}} < 0} \\ {frac{{text{x}}}{{text{a}}}}&:&{0 leqslant {text{x}} leqslant {text{a}}} \\ 0&:&{{text{otherwise}}} end{array}} right.] Which one of the following statements is true? A. Mean of f(x) and g(x) are same; Variance of f(x) and g(x) are same B. Mean of f(x) and g(x) are same; Variance of f(x) and g(x) are different C. Mean of f(x) and g(x) are different; Variance of f(x) and g(x) are same D. Mean of f(x) and g(x) are different; Variance of f(x) and g(x) are different\" \/>\n<meta property=\"og:url\" content=\"https:\/\/exam.pscnotes.com\/mcq\/if-fx-and-gx-are-two-probability-density-functions-textfleft-textx-right-left-beginarray20c-fractextxtexta-1-texta-leqs\/\" \/>\n<meta property=\"og:site_name\" content=\"MCQ and Quiz for Exams\" \/>\n<meta property=\"article:published_time\" content=\"2024-04-15T05:51:17+00:00\" \/>\n<meta name=\"author\" content=\"rawan239\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Written by\" \/>\n\t<meta name=\"twitter:data1\" content=\"rawan239\" \/>\n\t<meta name=\"twitter:label2\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data2\" content=\"1 minute\" \/>\n<!-- \/ Yoast SEO Premium plugin. -->","yoast_head_json":{"title":"If f(x) and g(x) are two probability density functions, \\[{\\text{f}}\\left( {\\text{x}} \\right) = \\left\\{ {\\begin{array}{*{20}{c}} {\\frac{{\\text{x}}}{{\\text{a}}} + 1}&:&{ - {\\text{a}} \\leqslant {\\text{x}} < 0} \\\\ { - \\frac{{\\text{x}}}{{\\text{a}}} + 1}&:&{0 \\leqslant {\\text{x}} \\leqslant {\\text{a}}} \\\\ 0&:&{{\\text{otherwise}}} \\end{array}} \\right.;\\,\\,{\\text{g}}\\left( {\\text{x}} \\right) = \\left\\{ {\\begin{array}{*{20}{c}} { - \\frac{{\\text{x}}}{{\\text{a}}}}&:&{ - {\\text{a}} \\leqslant {\\text{x}} < 0} \\\\ {\\frac{{\\text{x}}}{{\\text{a}}}}&:&{0 \\leqslant {\\text{x}} \\leqslant {\\text{a}}} \\\\ 0&:&{{\\text{otherwise}}} \\end{array}} \\right.\\] Which one of the following statements is true? A. Mean of f(x) and g(x) are same; Variance of f(x) and g(x) are same B. Mean of f(x) and g(x) are same; Variance of f(x) and g(x) are different C. Mean of f(x) and g(x) are different; Variance of f(x) and g(x) are same D. Mean of f(x) and g(x) are different; Variance of f(x) and g(x) are different","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:\/\/exam.pscnotes.com\/mcq\/if-fx-and-gx-are-two-probability-density-functions-textfleft-textx-right-left-beginarray20c-fractextxtexta-1-texta-leqs\/","og_locale":"en_US","og_type":"article","og_title":"If f(x) and g(x) are two probability density functions, \\[{\\text{f}}\\left( {\\text{x}} \\right) = \\left\\{ {\\begin{array}{*{20}{c}} {\\frac{{\\text{x}}}{{\\text{a}}} + 1}&:&{ - {\\text{a}} \\leqslant {\\text{x}} < 0} \\\\ { - \\frac{{\\text{x}}}{{\\text{a}}} + 1}&:&{0 \\leqslant {\\text{x}} \\leqslant {\\text{a}}} \\\\ 0&:&{{\\text{otherwise}}} \\end{array}} \\right.;\\,\\,{\\text{g}}\\left( {\\text{x}} \\right) = \\left\\{ {\\begin{array}{*{20}{c}} { - \\frac{{\\text{x}}}{{\\text{a}}}}&:&{ - {\\text{a}} \\leqslant {\\text{x}} < 0} \\\\ {\\frac{{\\text{x}}}{{\\text{a}}}}&:&{0 \\leqslant {\\text{x}} \\leqslant {\\text{a}}} \\\\ 0&:&{{\\text{otherwise}}} \\end{array}} \\right.\\] Which one of the following statements is true? A. Mean of f(x) and g(x) are same; Variance of f(x) and g(x) are same B. Mean of f(x) and g(x) are same; Variance of f(x) and g(x) are different C. Mean of f(x) and g(x) are different; Variance of f(x) and g(x) are same D. Mean of f(x) and g(x) are different; Variance of f(x) and g(x) are different","og_description":"[amp_mcq option1=”Mean of f(x) and g(x) are same; Variance of f(x) and g(x) are same” option2=”Mean of f(x) and g(x) are same; Variance of f(x) and g(x) are different” option3=”Mean of f(x) and g(x) are different; Variance of f(x) and g(x) are same” option4=”Mean of f(x) and g(x) are different; Variance of f(x) and g(x) ... Detailed SolutionIf f(x) and g(x) are two probability density functions, [{text{f}}left( {text{x}} right) = left{ {begin{array}{*{20}{c}} {frac{{text{x}}}{{text{a}}} + 1}&:&{ – {text{a}} leqslant {text{x}} < 0} \\ { - frac{{text{x}}}{{text{a}}} + 1}&:&{0 leqslant {text{x}} leqslant {text{a}}} \\ 0&:&{{text{otherwise}}} end{array}} right.;,,{text{g}}left( {text{x}} right) = left{ {begin{array}{*{20}{c}} { - frac{{text{x}}}{{text{a}}}}&:&{ - {text{a}} leqslant {text{x}} < 0} \\ {frac{{text{x}}}{{text{a}}}}&:&{0 leqslant {text{x}} leqslant {text{a}}} \\ 0&:&{{text{otherwise}}} end{array}} right.] Which one of the following statements is true? A. Mean of f(x) and g(x) are same; Variance of f(x) and g(x) are same B. Mean of f(x) and g(x) are same; Variance of f(x) and g(x) are different C. Mean of f(x) and g(x) are different; Variance of f(x) and g(x) are same D. Mean of f(x) and g(x) are different; Variance of f(x) and g(x) are different","og_url":"https:\/\/exam.pscnotes.com\/mcq\/if-fx-and-gx-are-two-probability-density-functions-textfleft-textx-right-left-beginarray20c-fractextxtexta-1-texta-leqs\/","og_site_name":"MCQ and Quiz for Exams","article_published_time":"2024-04-15T05:51:17+00:00","author":"rawan239","twitter_card":"summary_large_image","twitter_misc":{"Written by":"rawan239","Est. reading time":"1 minute"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"WebPage","@id":"https:\/\/exam.pscnotes.com\/mcq\/if-fx-and-gx-are-two-probability-density-functions-textfleft-textx-right-left-beginarray20c-fractextxtexta-1-texta-leqs\/","url":"https:\/\/exam.pscnotes.com\/mcq\/if-fx-and-gx-are-two-probability-density-functions-textfleft-textx-right-left-beginarray20c-fractextxtexta-1-texta-leqs\/","name":"If f(x) and g(x) are two probability density functions, \\[{\\text{f}}\\left( {\\text{x}} \\right) = \\left\\{ {\\begin{array}{*{20}{c}} {\\frac{{\\text{x}}}{{\\text{a}}} + 1}&:&{ - {\\text{a}} \\leqslant {\\text{x}} < 0} \\\\ { - \\frac{{\\text{x}}}{{\\text{a}}} + 1}&:&{0 \\leqslant {\\text{x}} \\leqslant {\\text{a}}} \\\\ 0&:&{{\\text{otherwise}}} \\end{array}} \\right.;\\,\\,{\\text{g}}\\left( {\\text{x}} \\right) = \\left\\{ {\\begin{array}{*{20}{c}} { - \\frac{{\\text{x}}}{{\\text{a}}}}&:&{ - {\\text{a}} \\leqslant {\\text{x}} < 0} \\\\ {\\frac{{\\text{x}}}{{\\text{a}}}}&:&{0 \\leqslant {\\text{x}} \\leqslant {\\text{a}}} \\\\ 0&:&{{\\text{otherwise}}} \\end{array}} \\right.\\] Which one of the following statements is true? A. Mean of f(x) and g(x) are same; Variance of f(x) and g(x) are same B. Mean of f(x) and g(x) are same; Variance of f(x) and g(x) are different C. Mean of f(x) and g(x) are different; Variance of f(x) and g(x) are same D. Mean of f(x) and g(x) are different; Variance of f(x) and g(x) are different","isPartOf":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/#website"},"datePublished":"2024-04-15T05:51:17+00:00","dateModified":"2024-04-15T05:51:17+00:00","author":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/#\/schema\/person\/5807dafeb27d2ec82344d6cbd6c3d209"},"breadcrumb":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/if-fx-and-gx-are-two-probability-density-functions-textfleft-textx-right-left-beginarray20c-fractextxtexta-1-texta-leqs\/#breadcrumb"},"inLanguage":"en-US","potentialAction":[{"@type":"ReadAction","target":["https:\/\/exam.pscnotes.com\/mcq\/if-fx-and-gx-are-two-probability-density-functions-textfleft-textx-right-left-beginarray20c-fractextxtexta-1-texta-leqs\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/exam.pscnotes.com\/mcq\/if-fx-and-gx-are-two-probability-density-functions-textfleft-textx-right-left-beginarray20c-fractextxtexta-1-texta-leqs\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Home","item":"https:\/\/exam.pscnotes.com\/mcq\/"},{"@type":"ListItem","position":2,"name":"mcq","item":"https:\/\/exam.pscnotes.com\/mcq\/category\/mcq\/"},{"@type":"ListItem","position":3,"name":"Engineering maths","item":"https:\/\/exam.pscnotes.com\/mcq\/category\/mcq\/engineering-maths\/"},{"@type":"ListItem","position":4,"name":"Probability and statistics","item":"https:\/\/exam.pscnotes.com\/mcq\/category\/mcq\/engineering-maths\/probability-and-statistics\/"},{"@type":"ListItem","position":5,"name":"If f(x) and g(x) are two probability density functions, \\[{\\text{f}}\\left( {\\text{x}} \\right) = \\left\\{ {\\begin{array}{*{20}{c}} {\\frac{{\\text{x}}}{{\\text{a}}} + 1}&:&{ – {\\text{a}} \\leqslant {\\text{x}} < 0} \\\\ { - \\frac{{\\text{x}}}{{\\text{a}}} + 1}&:&{0 \\leqslant {\\text{x}} \\leqslant {\\text{a}}} \\\\ 0&:&{{\\text{otherwise}}} \\end{array}} \\right.;\\,\\,{\\text{g}}\\left( {\\text{x}} \\right) = \\left\\{ {\\begin{array}{*{20}{c}} { - \\frac{{\\text{x}}}{{\\text{a}}}}&:&{ - {\\text{a}} \\leqslant {\\text{x}} < 0} \\\\ {\\frac{{\\text{x}}}{{\\text{a}}}}&:&{0 \\leqslant {\\text{x}} \\leqslant {\\text{a}}} \\\\ 0&:&{{\\text{otherwise}}} \\end{array}} \\right.\\] Which one of the following statements is true? A. Mean of f(x) and g(x) are same; Variance of f(x) and g(x) are same B. Mean of f(x) and g(x) are same; Variance of f(x) and g(x) are different C. Mean of f(x) and g(x) are different; Variance of f(x) and g(x) are same D. Mean of f(x) and g(x) are different; Variance of f(x) and g(x) are different"}]},{"@type":"WebSite","@id":"https:\/\/exam.pscnotes.com\/mcq\/#website","url":"https:\/\/exam.pscnotes.com\/mcq\/","name":"MCQ and Quiz for Exams","description":"","potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/exam.pscnotes.com\/mcq\/?s={search_term_string}"},"query-input":"required name=search_term_string"}],"inLanguage":"en-US"},{"@type":"Person","@id":"https:\/\/exam.pscnotes.com\/mcq\/#\/schema\/person\/5807dafeb27d2ec82344d6cbd6c3d209","name":"rawan239","image":{"@type":"ImageObject","inLanguage":"en-US","@id":"https:\/\/exam.pscnotes.com\/mcq\/#\/schema\/person\/image\/","url":"https:\/\/secure.gravatar.com\/avatar\/761a7274f9cce048fa5b921221e7934820d74514df93ef195a9d22af0c1c9001?s=96&d=mm&r=g","contentUrl":"https:\/\/secure.gravatar.com\/avatar\/761a7274f9cce048fa5b921221e7934820d74514df93ef195a9d22af0c1c9001?s=96&d=mm&r=g","caption":"rawan239"},"sameAs":["https:\/\/exam.pscnotes.com"],"url":"https:\/\/exam.pscnotes.com\/mcq\/author\/rawan239\/"}]}},"amp_enabled":true,"_links":{"self":[{"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/posts\/20318","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/comments?post=20318"}],"version-history":[{"count":0,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/posts\/20318\/revisions"}],"wp:attachment":[{"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/media?parent=20318"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/categories?post=20318"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/tags?post=20318"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}