{"id":8370,"date":"2024-04-15T02:59:30","date_gmt":"2024-04-15T02:59:30","guid":{"rendered":"https:\/\/exam.pscnotes.com\/mcq\/?p=8370"},"modified":"2024-04-15T02:59:30","modified_gmt":"2024-04-15T02:59:30","slug":"if-a-is-the-optimistic-time-b-is-the-pessimistic-time-and-m-is-most-likely-time-of-an-activity-the-expected-time-of-the-activity-is-a-fractexta-textm-textb6-b","status":"publish","type":"post","link":"https:\/\/exam.pscnotes.com\/mcq\/if-a-is-the-optimistic-time-b-is-the-pessimistic-time-and-m-is-most-likely-time-of-an-activity-the-expected-time-of-the-activity-is-a-fractexta-textm-textb6-b\/","title":{"rendered":"If a is the optimistic time, b is the pessimistic time and m is most likely time of an activity, the expected time of the activity, is A. $$\\frac{{{\\text{a}} + {\\text{m}} + {\\text{b}}}}{6}$$ B. $$\\frac{{{\\text{a}} + 2{\\text{m}} + {\\text{b}}}}{6}$$ C. $$\\frac{{{\\text{a}} + 4{\\text{m}} + {\\text{b}}}}{6}$$ D. $$\\frac{{{\\text{a}} + 5{\\text{m}} + {\\text{b}}}}{6}$$"},"content":{"rendered":"<p>[amp_mcq option1=&#8221;$$\\frac{{{\\text{a}} + {\\text{m}} + {\\text{b}}}}{6}$$&#8221; option2=&#8221;$$\\frac{{{\\text{a}} + 2{\\text{m}} + {\\text{b}}}}{6}$$&#8221; option3=&#8221;$$\\frac{{{\\text{a}} + 4{\\text{m}} + {\\text{b}}}}{6}$$&#8221; option4=&#8221;$$\\frac{{{\\text{a}} + 5{\\text{m}} + {\\text{b}}}}{6}$$&#8221; correct=&#8221;option2&#8243;]<!--more--><\/p>\n<p>The correct answer is $\\frac{{{\\text{a}} + 4{\\text{m}} + {\\text{b}}}}{6}$.<\/p>\n<p>The expected time of an activity is the weighted average of the optimistic time, the most likely time, and the pessimistic time. The weights are 1\/6, 4\/6, and 1\/6, respectively. This is because the optimistic time is the least likely time to occur, the most likely time is the most likely time to occur, and the pessimistic time is the most likely time to occur.<\/p>\n<p>The formula for the expected time of an activity is:<\/p>\n<p>$E = \\frac{{{\\text{a}} + 4{\\text{m}} + {\\text{b}}}}{6}$<\/p>\n<p>where:<\/p>\n<ul>\n<li>$a$ is the optimistic time<\/li>\n<li>$m$ is the most likely time<\/li>\n<li>$b$ is the pessimistic time<\/li>\n<\/ul>\n<p>For example, if the optimistic time for an activity is 1 day, the most likely time is 3 days, and the pessimistic time is 5 days, then the expected time of the activity is:<\/p>\n<p>$E = \\frac{{{\\text{a}} + 4{\\text{m}} + {\\text{b}}}}{6} = \\frac{{1 + 4 \\times 3 + 5}}{6} = 3$ days<\/p>\n","protected":false},"excerpt":{"rendered":"<p>[amp_mcq option1=&#8221;$$\\frac{{{\\text{a}} + {\\text{m}} + {\\text{b}}}}{6}$$&#8221; option2=&#8221;$$\\frac{{{\\text{a}} + 2{\\text{m}} + {\\text{b}}}}{6}$$&#8221; option3=&#8221;$$\\frac{{{\\text{a}} + 4{\\text{m}} + {\\text{b}}}}{6}$$&#8221; option4=&#8221;$$\\frac{{{\\text{a}} + 5{\\text{m}} + {\\text{b}}}}{6}$$&#8221; correct=&#8221;option2&#8243;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[655],"tags":[],"class_list":["post-8370","post","type-post","status-publish","format-standard","hentry","category-construction-planning-and-management","no-featured-image-padding"],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v22.2 (Yoast SEO v23.3) - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>If a is the optimistic time, b is the pessimistic time and m is most likely time of an activity, the expected time of the activity, is A. $$\\frac{{{\\text{a}} + {\\text{m}} + {\\text{b}}}}{6}$$ B. $$\\frac{{{\\text{a}} + 2{\\text{m}} + {\\text{b}}}}{6}$$ C. $$\\frac{{{\\text{a}} + 4{\\text{m}} + {\\text{b}}}}{6}$$ D. $$\\frac{{{\\text{a}} + 5{\\text{m}} + {\\text{b}}}}{6}$$<\/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-a-is-the-optimistic-time-b-is-the-pessimistic-time-and-m-is-most-likely-time-of-an-activity-the-expected-time-of-the-activity-is-a-fractexta-textm-textb6-b\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"If a is the optimistic time, b is the pessimistic time and m is most likely time of an activity, the expected time of the activity, is A. $$\\frac{{{\\text{a}} + {\\text{m}} + {\\text{b}}}}{6}$$ B. $$\\frac{{{\\text{a}} + 2{\\text{m}} + {\\text{b}}}}{6}$$ C. $$\\frac{{{\\text{a}} + 4{\\text{m}} + {\\text{b}}}}{6}$$ D. $$\\frac{{{\\text{a}} + 5{\\text{m}} + {\\text{b}}}}{6}$$\" \/>\n<meta property=\"og:description\" content=\"[amp_mcq option1=&#8221;$$frac{{{text{a}} + {text{m}} + {text{b}}}}{6}$$&#8221; option2=&#8221;$$frac{{{text{a}} + 2{text{m}} + {text{b}}}}{6}$$&#8221; option3=&#8221;$$frac{{{text{a}} + 4{text{m}} + {text{b}}}}{6}$$&#8221; option4=&#8221;$$frac{{{text{a}} + 5{text{m}} + {text{b}}}}{6}$$&#8221; correct=&#8221;option2&#8243;]\" \/>\n<meta property=\"og:url\" content=\"https:\/\/exam.pscnotes.com\/mcq\/if-a-is-the-optimistic-time-b-is-the-pessimistic-time-and-m-is-most-likely-time-of-an-activity-the-expected-time-of-the-activity-is-a-fractexta-textm-textb6-b\/\" \/>\n<meta property=\"og:site_name\" content=\"MCQ and Quiz for Exams\" \/>\n<meta property=\"article:published_time\" content=\"2024-04-15T02:59:30+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 a is the optimistic time, b is the pessimistic time and m is most likely time of an activity, the expected time of the activity, is A. $$\\frac{{{\\text{a}} + {\\text{m}} + {\\text{b}}}}{6}$$ B. $$\\frac{{{\\text{a}} + 2{\\text{m}} + {\\text{b}}}}{6}$$ C. $$\\frac{{{\\text{a}} + 4{\\text{m}} + {\\text{b}}}}{6}$$ D. $$\\frac{{{\\text{a}} + 5{\\text{m}} + {\\text{b}}}}{6}$$","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-a-is-the-optimistic-time-b-is-the-pessimistic-time-and-m-is-most-likely-time-of-an-activity-the-expected-time-of-the-activity-is-a-fractexta-textm-textb6-b\/","og_locale":"en_US","og_type":"article","og_title":"If a is the optimistic time, b is the pessimistic time and m is most likely time of an activity, the expected time of the activity, is A. $$\\frac{{{\\text{a}} + {\\text{m}} + {\\text{b}}}}{6}$$ B. $$\\frac{{{\\text{a}} + 2{\\text{m}} + {\\text{b}}}}{6}$$ C. $$\\frac{{{\\text{a}} + 4{\\text{m}} + {\\text{b}}}}{6}$$ D. $$\\frac{{{\\text{a}} + 5{\\text{m}} + {\\text{b}}}}{6}$$","og_description":"[amp_mcq option1=&#8221;$$frac{{{text{a}} + {text{m}} + {text{b}}}}{6}$$&#8221; option2=&#8221;$$frac{{{text{a}} + 2{text{m}} + {text{b}}}}{6}$$&#8221; option3=&#8221;$$frac{{{text{a}} + 4{text{m}} + {text{b}}}}{6}$$&#8221; option4=&#8221;$$frac{{{text{a}} + 5{text{m}} + {text{b}}}}{6}$$&#8221; correct=&#8221;option2&#8243;]","og_url":"https:\/\/exam.pscnotes.com\/mcq\/if-a-is-the-optimistic-time-b-is-the-pessimistic-time-and-m-is-most-likely-time-of-an-activity-the-expected-time-of-the-activity-is-a-fractexta-textm-textb6-b\/","og_site_name":"MCQ and Quiz for Exams","article_published_time":"2024-04-15T02:59:30+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-a-is-the-optimistic-time-b-is-the-pessimistic-time-and-m-is-most-likely-time-of-an-activity-the-expected-time-of-the-activity-is-a-fractexta-textm-textb6-b\/","url":"https:\/\/exam.pscnotes.com\/mcq\/if-a-is-the-optimistic-time-b-is-the-pessimistic-time-and-m-is-most-likely-time-of-an-activity-the-expected-time-of-the-activity-is-a-fractexta-textm-textb6-b\/","name":"If a is the optimistic time, b is the pessimistic time and m is most likely time of an activity, the expected time of the activity, is A. $$\\frac{{{\\text{a}} + {\\text{m}} + {\\text{b}}}}{6}$$ B. $$\\frac{{{\\text{a}} + 2{\\text{m}} + {\\text{b}}}}{6}$$ C. $$\\frac{{{\\text{a}} + 4{\\text{m}} + {\\text{b}}}}{6}$$ D. $$\\frac{{{\\text{a}} + 5{\\text{m}} + {\\text{b}}}}{6}$$","isPartOf":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/#website"},"datePublished":"2024-04-15T02:59:30+00:00","dateModified":"2024-04-15T02:59:30+00:00","author":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/#\/schema\/person\/5807dafeb27d2ec82344d6cbd6c3d209"},"breadcrumb":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/if-a-is-the-optimistic-time-b-is-the-pessimistic-time-and-m-is-most-likely-time-of-an-activity-the-expected-time-of-the-activity-is-a-fractexta-textm-textb6-b\/#breadcrumb"},"inLanguage":"en-US","potentialAction":[{"@type":"ReadAction","target":["https:\/\/exam.pscnotes.com\/mcq\/if-a-is-the-optimistic-time-b-is-the-pessimistic-time-and-m-is-most-likely-time-of-an-activity-the-expected-time-of-the-activity-is-a-fractexta-textm-textb6-b\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/exam.pscnotes.com\/mcq\/if-a-is-the-optimistic-time-b-is-the-pessimistic-time-and-m-is-most-likely-time-of-an-activity-the-expected-time-of-the-activity-is-a-fractexta-textm-textb6-b\/#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":"Civil engineering","item":"https:\/\/exam.pscnotes.com\/mcq\/category\/mcq\/civil-engineering\/"},{"@type":"ListItem","position":4,"name":"Construction planning and management","item":"https:\/\/exam.pscnotes.com\/mcq\/category\/mcq\/civil-engineering\/construction-planning-and-management\/"},{"@type":"ListItem","position":5,"name":"If a is the optimistic time, b is the pessimistic time and m is most likely time of an activity, the expected time of the activity, is A. $$\\frac{{{\\text{a}} + {\\text{m}} + {\\text{b}}}}{6}$$ B. $$\\frac{{{\\text{a}} + 2{\\text{m}} + {\\text{b}}}}{6}$$ C. $$\\frac{{{\\text{a}} + 4{\\text{m}} + {\\text{b}}}}{6}$$ D. $$\\frac{{{\\text{a}} + 5{\\text{m}} + {\\text{b}}}}{6}$$"}]},{"@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\/8370","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=8370"}],"version-history":[{"count":0,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/posts\/8370\/revisions"}],"wp:attachment":[{"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/media?parent=8370"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/categories?post=8370"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/tags?post=8370"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}