{"id":7450,"date":"2024-04-15T02:45:09","date_gmt":"2024-04-15T02:45:09","guid":{"rendered":"https:\/\/exam.pscnotes.com\/mcq\/?p=7450"},"modified":"2024-04-15T02:45:09","modified_gmt":"2024-04-15T02:45:09","slug":"the-relation-between-probability-p-and-recurrence-interval-t-is-given-by-a-pt-1-b-pt2-1-c-fractextptextt-1-d-fractextptextt2-1","status":"publish","type":"post","link":"https:\/\/exam.pscnotes.com\/mcq\/the-relation-between-probability-p-and-recurrence-interval-t-is-given-by-a-pt-1-b-pt2-1-c-fractextptextt-1-d-fractextptextt2-1\/","title":{"rendered":"The relation between probability (P) and recurrence interval (T) is given by A. PT = 1 B. PT2 = 1 C. $$\\frac{{\\text{P}}}{{\\text{T}}} = 1$$ D. $$\\frac{{\\text{P}}}{{{{\\text{T}}^2}}} = 1$$"},"content":{"rendered":"<p>\r\n    <!-- Check if it's an AMP page -->\r\n            <!-- Non-AMP version -->\r\n        <div class=\"mcq-container\" data-quiz-id=\"quizState_6a9e69838e1d2\">\r\n                                            <div class=\"option\" data-option-key=\"option1\" data-is-correct=\"true\">\r\n                    PT = 1                <\/div>\r\n                                            <div class=\"option\" data-option-key=\"option2\" data-is-correct=\"false\">\r\n                    PT2 = 1                <\/div>\r\n                                            <div class=\"option\" data-option-key=\"option3\" data-is-correct=\"false\">\r\n                    $$\frac{{\text{P}}}{{\text{T}}} = 1$$                <\/div>\r\n                                            <div class=\"option\" data-option-key=\"option4\" data-is-correct=\"false\">\r\n                    $$\frac{{\text{P}}}{{{{\text{T}}^2}}} = 1$$                <\/div>\r\n                            \r\n            <!-- Feedback messages for non-AMP -->\r\n            <div class=\"feedback\" data-feedback=\"wrong\">Answer is Right!<\/div>\r\n            <div class=\"feedback\" data-feedback=\"right\">Answer is Wrong!<\/div>\r\n        <\/div>\r\n\r\n        <script>\r\n        document.addEventListener('DOMContentLoaded', function () {\r\n            var containers = document.querySelectorAll('.mcq-container');\r\n\r\n            containers.forEach(function(container) {\r\n                var options = container.querySelectorAll('.option');\r\n                var feedbackSelect = container.querySelector('[data-feedback=\"select\"]');\r\n                var feedbackWrong = container.querySelector('[data-feedback=\"wrong\"]');\r\n                var feedbackRight = container.querySelector('[data-feedback=\"right\"]');\r\n\r\n                options.forEach(function(option) {\r\n                    option.addEventListener('click', function() {\r\n                        var selectedOption = option.getAttribute('data-option-key');\r\n                        var isCorrect = option.getAttribute('data-is-correct') === 'true';\r\n\r\n                        \/\/ Remove previous selections\r\n                        options.forEach(function(opt) {\r\n                            opt.classList.remove('correct', 'incorrect');\r\n                        });\r\n\r\n                        \/\/ Add the correct\/incorrect class\r\n                        if (isCorrect) {\r\n                            option.classList.add('correct');\r\n                            feedbackRight.hidden = false;\r\n                            feedbackWrong.hidden = true;\r\n                        } else {\r\n                            option.classList.add('incorrect');\r\n                            feedbackRight.hidden = true;\r\n                            feedbackWrong.hidden = false;\r\n                        }\r\n\r\n                        \/\/ Hide select feedback\r\n                        feedbackSelect.hidden = true;\r\n                    });\r\n                });\r\n            });\r\n        });\r\n        <\/script>\r\n    \r\n    <!--more--><\/p>\n<p>The correct answer is $\\frac{{\\text{P}}}{{\\text{T}}} = 1$.<\/p>\n<p>The recurrence interval is the average time between events. The probability is the likelihood of an event occurring. The relation between probability and recurrence interval is given by the following equation:<\/p>\n<p>$$\\frac{{\\text{P}}}{{\\text{T}}} = 1$$<\/p>\n<p>This equation states that the probability of an event occurring is equal to the reciprocal of the recurrence interval. In other words, the more likely an event is to occur, the shorter the time between events will be.<\/p>\n<p>Option A is incorrect because it states that the product of probability and recurrence interval is equal to 1. This is not true, as the probability of an event occurring can be any value between 0 and 1, and the recurrence interval can <div class=\"youtube-subscribe-container\">\r\n        <a href=\"https:\/\/www.youtube.com\/channel\/UCNHT8lW-JmLC68rjBfZhdkg?sub_confirmation=1\" target=\"_blank\" class=\"youtube-subscribe-button\">\r\n            <span class=\"youtube-icon\">\r\n                <svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\" viewBox=\"0 0 576 512\">\r\n                    <path d=\"M549.7 124.1c-6.3-23.7-24.8-42.3-48.3-48.6C458.8 64 288 64 288 64S117.2 64 74.6 75.5c-23.5 6.3-42 24.9-48.3 48.6-11.4 42.9-11.4 132.3-11.4 132.3s0 89.4 11.4 132.3c6.3 23.7 24.8 41.5 48.3 47.8C117.2 448 288 448 288 448s170.8 0 213.4-11.5c23.5-6.3 42-24.2 48.3-47.8 11.4-42.9 11.4-132.3 11.4-132.3s0-89.4-11.4-132.3zm-317.5 213.5V175.2l142.7 81.2-142.7 81.2z\"\/>\r\n                <\/svg>\r\n            <\/span>\r\n            Subscribe on YouTube\r\n        <\/a>\r\n    <\/div> be any positive value.<\/p>\n<p>Option B is incorrect because it states that the square of the product of probability and recurrence interval is equal to 1. This is also not true, as the square of the probability of an event occurring can be any value between 0 and 1, and the square of the recurrence interval can be any positive value.<\/p>\n<p>Option C is incorrect because it states that the probability divided by the recurrence interval is equal to 1. This is the correct equation, as it states that the probability of an event occurring is equal to the reciprocal of the recurrence interval.<\/p>\n<p>Option D is incorrect because it states that the probability divided <div class=\"telegram-channel-container\">\r\n        <a href=\"https:\/\/t.me\/pscnotes2025\" target=\"_blank\" class=\"telegram-channel-button\">\r\n            <span class=\"telegram-icon\">\r\n                <svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\" viewBox=\"0 0 496 512\">\r\n                    <path fill=\"white\" d=\"M248,8C111,8,0,119,0,256s111,248,248,248s248-111,248-248S385,8,248,8z M362,177L320,367c-3,14-10,18-20,14l-56-41l-27,26 c-3,3-5,5-10,5l4-63L323,196c5-5-1-7-8-3l-98,62l-42-13c-9-3-10-9,2-14l162-63C351,160,365,164,362,177z\"\/>\r\n                <\/svg>\r\n            <\/span>\r\n            Join Our Telegram Channel\r\n        <\/a>\r\n    <\/div> by the square of the recurrence interval is equal to 1. This is also not true, as the probability of an event occurring can be any value between 0 and 1, and the square of the recurrence interval can be any positive value.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Join Our Telegram Channel Subscribe on YouTube<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[649],"tags":[],"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 relation between probability (P) and recurrence interval (T) is given by A. PT = 1 B. PT2 = 1 C. $$\\frac{{\\text{P}}}{{\\text{T}}} = 1$$ D. $$\\frac{{\\text{P}}}{{{{\\text{T}}^2}}} = 1$$<\/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-relation-between-probability-p-and-recurrence-interval-t-is-given-by-a-pt-1-b-pt2-1-c-fractextptextt-1-d-fractextptextt2-1\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"The relation between probability (P) and recurrence interval (T) is given by A. PT = 1 B. 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