{"id":20306,"date":"2024-04-15T05:51:08","date_gmt":"2024-04-15T05:51:08","guid":{"rendered":"https:\/\/exam.pscnotes.com\/mcq\/?p=20306"},"modified":"2024-04-15T05:51:08","modified_gmt":"2024-04-15T05:51:08","slug":"the-probability-that-a-communication-system-will-have-high-fidelity-is-0-81-the-probability-that-the-system-will-have-both-high-fidelity-and-high-selectivity-is-0-18-the-probability-that-a-given-sys","status":"publish","type":"post","link":"https:\/\/exam.pscnotes.com\/mcq\/the-probability-that-a-communication-system-will-have-high-fidelity-is-0-81-the-probability-that-the-system-will-have-both-high-fidelity-and-high-selectivity-is-0-18-the-probability-that-a-given-sys\/","title":{"rendered":"The probability that a communication system will have high fidelity is 0.81. The probability that the system will have both high fidelity and high selectivity is 0.18. The probability that a given system with high fidelity will have high selectivity is A. 0.181 B. 0.191 C. 0.222 D. 0.826"},"content":{"rendered":"<p>[amp_mcq option1=&#8221;0.181&#8243; option2=&#8221;0.191&#8243; option3=&#8221;0.222&#8243; option4=&#8221;0.826&#8243; correct=&#8221;option3&#8243;]<!--more--><\/p>\n<p>The correct answer is $\\boxed{\\text{B) 0.191}}$.<\/p>\n<p>The probability that a given system with high fidelity will have high selectivity is the probability of both high fidelity and high selectivity, divided by the probability of high fidelity. This is calculated as follows:<\/p>\n<p>$$P(\\text{high selectivity}|\\text{high fidelity}) = \\frac{P(\\text{high fidelity and high selectivity})}{P(\\text{high fidelity})} = \\frac{0.18}{0.81} = 0.191$$<\/p>\n<p>Option A is incorrect because it is the probability of high fidelity and high selectivity, not the probability of high selectivity given high fidelity.<\/p>\n<p>Option C is incorrect because it is the probability of high selectivity, not the probability of high selectivity given high fidelity.<\/p>\n<p>Option D is incorrect because it is the probability of high fidelity, not the probability of high selectivity given high fidelity.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>[amp_mcq option1=&#8221;0.181&#8243; option2=&#8221;0.191&#8243; option3=&#8221;0.222&#8243; option4=&#8221;0.826&#8243; correct=&#8221;option3&#8243;]<\/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-20306","post","type-post","status-publish","format-standard","hentry","category-probability-and-statistics","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>The probability that a communication system will have high fidelity is 0.81. The probability that the system will have both high fidelity and high selectivity is 0.18. The probability that a given system with high fidelity will have high selectivity is A. 0.181 B. 0.191 C. 0.222 D. 0.826<\/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\/the-probability-that-a-communication-system-will-have-high-fidelity-is-0-81-the-probability-that-the-system-will-have-both-high-fidelity-and-high-selectivity-is-0-18-the-probability-that-a-given-sys\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"The probability that a communication system will have high fidelity is 0.81. The probability that the system will have both high fidelity and high selectivity is 0.18. The probability that a given system with high fidelity will have high selectivity is A. 0.181 B. 0.191 C. 0.222 D. 0.826\" \/>\n<meta property=\"og:description\" content=\"[amp_mcq option1=&#8221;0.181&#8243; option2=&#8221;0.191&#8243; option3=&#8221;0.222&#8243; option4=&#8221;0.826&#8243; correct=&#8221;option3&#8243;]\" \/>\n<meta property=\"og:url\" content=\"https:\/\/exam.pscnotes.com\/mcq\/the-probability-that-a-communication-system-will-have-high-fidelity-is-0-81-the-probability-that-the-system-will-have-both-high-fidelity-and-high-selectivity-is-0-18-the-probability-that-a-given-sys\/\" \/>\n<meta property=\"og:site_name\" content=\"MCQ and Quiz for Exams\" \/>\n<meta property=\"article:published_time\" content=\"2024-04-15T05:51:08+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":"The probability that a communication system will have high fidelity is 0.81. The probability that the system will have both high fidelity and high selectivity is 0.18. The probability that a given system with high fidelity will have high selectivity is A. 0.181 B. 0.191 C. 0.222 D. 0.826","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\/the-probability-that-a-communication-system-will-have-high-fidelity-is-0-81-the-probability-that-the-system-will-have-both-high-fidelity-and-high-selectivity-is-0-18-the-probability-that-a-given-sys\/","og_locale":"en_US","og_type":"article","og_title":"The probability that a communication system will have high fidelity is 0.81. The probability that the system will have both high fidelity and high selectivity is 0.18. The probability that a given system with high fidelity will have high selectivity is A. 0.181 B. 0.191 C. 0.222 D. 0.826","og_description":"[amp_mcq option1=&#8221;0.181&#8243; option2=&#8221;0.191&#8243; option3=&#8221;0.222&#8243; option4=&#8221;0.826&#8243; correct=&#8221;option3&#8243;]","og_url":"https:\/\/exam.pscnotes.com\/mcq\/the-probability-that-a-communication-system-will-have-high-fidelity-is-0-81-the-probability-that-the-system-will-have-both-high-fidelity-and-high-selectivity-is-0-18-the-probability-that-a-given-sys\/","og_site_name":"MCQ and Quiz for Exams","article_published_time":"2024-04-15T05:51:08+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\/the-probability-that-a-communication-system-will-have-high-fidelity-is-0-81-the-probability-that-the-system-will-have-both-high-fidelity-and-high-selectivity-is-0-18-the-probability-that-a-given-sys\/","url":"https:\/\/exam.pscnotes.com\/mcq\/the-probability-that-a-communication-system-will-have-high-fidelity-is-0-81-the-probability-that-the-system-will-have-both-high-fidelity-and-high-selectivity-is-0-18-the-probability-that-a-given-sys\/","name":"The probability that a communication system will have high fidelity is 0.81. 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