{"id":19529,"date":"2024-04-15T05:40:40","date_gmt":"2024-04-15T05:40:40","guid":{"rendered":"https:\/\/exam.pscnotes.com\/mcq\/?p=19529"},"modified":"2024-04-15T05:40:40","modified_gmt":"2024-04-15T05:40:40","slug":"the-mutual-information-between-a-pair-of-events-is-a-positive-b-negative-c-zero-d-all-of-the-mentioned","status":"publish","type":"post","link":"https:\/\/exam.pscnotes.com\/mcq\/the-mutual-information-between-a-pair-of-events-is-a-positive-b-negative-c-zero-d-all-of-the-mentioned\/","title":{"rendered":"The mutual information between a pair of events is A. Positive B. Negative C. Zero D. All of the mentioned"},"content":{"rendered":"<p>[amp_mcq option1=&#8221;Positive&#8221; option2=&#8221;Negative&#8221; option3=&#8221;Zero&#8221; option4=&#8221;All of the mentioned&#8221; correct=&#8221;option1&#8243;]<!--more--><\/p>\n<p>The correct answer is: <strong>A. Positive, B. Negative, or C. Zero.<\/strong><\/p>\n<p>Mutual information is a measure of the mutual dependence between two random variables. It can be positive, negative, or zero.<\/p>\n<ul>\n<li><strong>Positive mutual information<\/strong> indicates that the two random variables are positively correlated, meaning that they tend to occur together. For example, the mutual information between the height and weight of an adult human is positive, because taller people tend to weigh more.<\/li>\n<li><strong>Negative mutual information<\/strong> indicates that the two random variables are negatively correlated, meaning that they tend to occur opposite each other. For example, the mutual information between the temperature and the number of people wearing coats is negative, because it is usually warmer when fewer people are wearing coats.<\/li>\n<li><strong>Zero mutual information<\/strong> indicates that the two random variables are independent, meaning that they do not occur together any more often than they would by chance. For example, the mutual information between the number of people wearing hats and the number of people carrying umbrellas is likely to be zero, because there is no reason to expect these two things to be related.<\/li>\n<\/ul>\n<p>In general, the mutual information between two random variables can be any real number between -1 and 1. However, in practice, it is often the case that the mutual information is either positive or negative, with zero mutual information being relatively rare.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>[amp_mcq option1=&#8221;Positive&#8221; option2=&#8221;Negative&#8221; option3=&#8221;Zero&#8221; option4=&#8221;All of the mentioned&#8221; correct=&#8221;option1&#8243;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[685],"tags":[],"class_list":["post-19529","post","type-post","status-publish","format-standard","hentry","category-information-theory-and-coding","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 mutual information between a pair of events is A. Positive B. Negative C. Zero D. 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