{"id":252843,"date":"2025-07-11T13:09:27","date_gmt":"2025-07-11T13:09:27","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=252843"},"modified":"2025-07-11T13:09:33","modified_gmt":"2025-07-11T13:09:33","slug":"use-desmos-to-find-the-area-under-the-normal-curve-between","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/07\/11\/use-desmos-to-find-the-area-under-the-normal-curve-between\/","title":{"rendered":"Use Desmos to find the area under the normal curve between."},"content":{"rendered":"\n

. Use Desmos to find the area under the normal curve between. a. Between -1 and 1 for mean = 0 and standard deviation = 1. b. Between 56 and 64 for mean = 60 and standard deviation = 4. c. Between 3.4 and 5.8 for mean = 4.1 and standard deviation = 0.7.<\/p>\n\n\n\n

The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n

To find the area under the normal curve between two values using Desmos<\/strong>, we integrate the normal distribution probability density function (PDF)<\/strong> between the given limits. The general form of the normal PDF is: f(x)=1\u03c32\u03c0e\u221212(x\u2212\u03bc\u03c3)2f(x) = \\frac{1}{\\sigma \\sqrt{2\\pi}} e^{ -\\frac{1}{2} \\left( \\frac{x – \\mu}{\\sigma} \\right)^2 }f(x)=\u03c32\u03c0<\/p>\n\n\n\n

To find the area under the normal curve between two values using Desmos<\/strong>, we integrate the normal distribution probability density function (PDF)<\/strong> between the given limits. The general form of the normal PDF is: f(x)=1\u03c32\u03c0e\u221212(x\u2212\u03bc\u03c3)2f(x) = \\frac{1}{\\sigma \\sqrt{2\\pi}} e^{ -\\frac{1}{2} \\left( \\frac{x – \\mu}{\\sigma} \\right)^2 }f(x)=\u03c32\u03c0<\/p>\n\n\n\n

\"\"<\/figure>\n","protected":false},"excerpt":{"rendered":"

. Use Desmos to find the area under the normal curve between. a. Between -1 and 1 for mean = 0 and standard deviation = 1. b. Between 56 and 64 for mean = 60 and standard deviation = 4. c. Between 3.4 and 5.8 for mean = 4.1 and standard deviation = 0.7. The […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","ast-disable-related-posts":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"categories":[25],"tags":[],"class_list":["post-252843","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/252843","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/comments?post=252843"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/252843\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=252843"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=252843"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=252843"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}