{"id":20303,"date":"2024-04-15T05:51:05","date_gmt":"2024-04-15T05:51:05","guid":{"rendered":"https:\/\/exam.pscnotes.com\/mcq\/?p=20303"},"modified":"2024-04-15T05:51:05","modified_gmt":"2024-04-15T05:51:05","slug":"the-number-of-parameters-in-the-univariate-exponential-and-gaussian-distributions-respectively-are-a-2-and-2-b-1-and-2-c-2-and-1-d-1-and-1","status":"publish","type":"post","link":"https:\/\/exam.pscnotes.com\/mcq\/the-number-of-parameters-in-the-univariate-exponential-and-gaussian-distributions-respectively-are-a-2-and-2-b-1-and-2-c-2-and-1-d-1-and-1\/","title":{"rendered":"The number of parameters in the univariate exponential and Gaussian distributions, respectively, are A. 2 and 2 B. 1 and 2 C. 2 and 1 D. 1 and 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_6a9b3586456db\">\r\n                                            <div class=\"option\" data-option-key=\"option1\" data-is-correct=\"false\">\r\n                    2 and 2                <\/div>\r\n                                            <div class=\"option\" data-option-key=\"option2\" data-is-correct=\"true\">\r\n                    1 and 2                <\/div>\r\n                                            <div class=\"option\" data-option-key=\"option3\" data-is-correct=\"false\">\r\n                    2 and 1                <\/div>\r\n                                            <div class=\"option\" data-option-key=\"option4\" data-is-correct=\"false\">\r\n                    1 and 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 B. 1 and 2.<\/p>\n<p>The exponential distribution is a continuous probability distribution that is often used to model the time between events. It has one parameter, $\\lambda$, which is the rate of the event. The Gaussian distribution, also known as the normal distribution, <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> is a continuous probability distribution that is often used to model the distribution of data. It has two parameters, $\\mu$ and $\\sigma^2$, which are the mean and variance of the data.<\/p>\n<p>The number of parameters in a probability distribution is the number of quantities that need to be specified in order to completely determine the distribution. For example, the exponential distribution is completely determined by the value of $\\lambda$, so it has one parameter. The Gaussian distribution is completely determined by the values of $\\mu$ and $\\sigma^2$, so it has two parameters.<\/p>\n<p>Here is a brief explanation of each option:<\/p>\n<ul>\n<li>Option A: 2 and 2. This is incorrect because the exponential distribution has one parameter and the Gaussian distribution has two parameters.<\/li>\n<li>Option B: 1 and 2. This is the correct answer because the exponential distribution has one parameter and <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> the Gaussian distribution has two parameters.<\/li>\n<li>Option C: 2 and 1. This is incorrect because the exponential distribution has one parameter and the Gaussian distribution has two parameters.<\/li>\n<li>Option D: 1 and 1. This is incorrect because the exponential distribution has one parameter and the Gaussian distribution has two parameters.<\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>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":[691],"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 number of parameters in the univariate exponential and Gaussian distributions, respectively, are A. 2 and 2 B. 1 and 2 C. 2 and 1 D. 1 and 1<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" 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