{"id":10042,"date":"2024-01-28T22:00:33","date_gmt":"2024-01-28T22:00:33","guid":{"rendered":"https:\/\/www.writemyessays.app\/blog\/questions\/design-a-probability-model-that-models-a-real-world-situation-and-identify-the-possible-outcomes-and-sample-space-of-the-model\/"},"modified":"2024-01-28T22:00:33","modified_gmt":"2024-01-28T22:00:33","slug":"design-a-probability-model-that-models-a-real-world-situation-and-identify-the-possible-outcomes-and-sample-space-of-the-model","status":"publish","type":"questions","link":"https:\/\/www.writemyessays.app\/blog\/questions\/design-a-probability-model-that-models-a-real-world-situation-and-identify-the-possible-outcomes-and-sample-space-of-the-model\/","title":{"rendered":"Design a probability model that models a real-world situation, and identify the possible outcomes and sample space of the model."},"content":{"rendered":"<ol style=\"font-size: 14px; cursor: auto; color: inherit;\">\n<li style=\"cursor: auto; color: inherit;\">Design a probability model that models a real-world situation, and identify the possible outcomes and sample space of the model.<\/li>\n<li style=\"cursor: auto; color: inherit;\">Analyze the results of the experiment, and compare theoretical and empirical outcomes.<\/li>\n<li style=\"cursor: auto; color: inherit;\">Design a binomial probability experiment.<\/li>\n<\/ol>\n<div><span style=\"font-size: 14px;\"><br \/><\/span><\/div>\n<div>\n<p style=\"font-size: 14px; line-height: 1.5; cursor: auto; color: inherit;\">Find a public opinion poll from a media source that predicts a probability. Design a probability experiment that models a political science public opinion poll.<\/p>\n<ul style=\"font-size: 14px; cursor: auto; color: inherit;\">\n<li style=\"padding-bottom: 5px; cursor: auto; color: inherit;\">What are the possible outcomes and sample space of the experiment?<\/li>\n<li style=\"padding-bottom: 5px; cursor: auto; color: inherit;\">What were the results of the experiment? Show the results in table format.<\/li>\n<li style=\"padding-bottom: 5px; cursor: auto; color: inherit;\">What is the probability of each option?<\/li>\n<\/ul>\n<div>\n<div style=\"cursor: auto; color: inherit;\">\n<div style=\"cursor: auto; color: inherit;\">\n<p style=\"font-size: 1.4rem; line-height: 1.5; cursor: auto; color: inherit;\">\n<p style=\"line-height: 1.5; cursor: auto; color: inherit;\"><font size=\"2\">Compare the data from the experiment to the public opinion poll. How does the data collected compare to the media source? Describe the trends in the data and compare the theoretical probability to the empirical probability.<\/font><\/p>\n<p style=\"line-height: 1.5; cursor: auto; color: inherit;\"><font size=\"2\"><br \/><\/font><\/p>\n<p style=\"font-size: 14px; line-height: 1.5; cursor: auto; color: inherit;\">Create a binomial probability experiment with the data from the public opinion poll experiment. Use the probability of success and failure from the experiment. Calculate the probability of the number of successes in<span style=\"cursor: auto; color: inherit;\">&nbsp;<\/span><span style=\"line-height: normal; cursor: auto; color: inherit;\" data-mathml=\"\n\n<math xmlns=&quot;http:\/\/www.w3.org\/1998\/Math\/MathML&quot;><mn>100<\/mn><\/math>\n<p>&#8220;><nobr style=\"line-height: normal; cursor: auto; color: inherit;\" aria-hidden=\"true\"><span style=\"line-height: normal; cursor: auto; color: inherit;\"><span style=\"font-size: 17.36px; line-height: normal; cursor: auto; color: inherit;\"><span style=\"line-height: normal; cursor: auto; color: inherit;\"><span style=\"line-height: normal; cursor: auto; color: inherit;\"><span style=\"line-height: normal; cursor: auto; color: inherit;\">100<\/span><\/span><span style=\"line-height: normal; cursor: auto; color: inherit;\"><\/span><\/span><\/span><span style=\"line-height: normal; cursor: auto; color: inherit;\"><\/span><\/span><\/nobr><span style=\"line-height: normal; cursor: auto; color: inherit;\"><\/p>\n<math style=\"cursor: auto; color: inherit;\"><mn style=\"cursor: auto; color: inherit;\">100<\/mn><\/math>\n<p><\/span><\/span><span style=\"cursor: auto; color: inherit;\">&nbsp;<\/span>random tests. For example, if the probability of success is<span style=\"cursor: auto; color: inherit;\">&nbsp;<\/span><span style=\"line-height: normal; cursor: auto; color: inherit;\" data-mathml=\"\n\n<math xmlns=&quot;http:\/\/www.w3.org\/1998\/Math\/MathML&quot;><mn>0.20<\/mn><\/math>\n<p>&#8220;><nobr style=\"line-height: normal; cursor: auto; color: inherit;\" aria-hidden=\"true\"><span style=\"line-height: normal; cursor: auto; color: inherit;\"><span style=\"font-size: 17.36px; line-height: normal; cursor: auto; color: inherit;\"><span style=\"line-height: normal; cursor: auto; color: inherit;\"><span style=\"line-height: normal; cursor: auto; color: inherit;\"><span style=\"line-height: normal; cursor: auto; color: inherit;\">0.20<\/span><\/span><span style=\"line-height: normal; cursor: auto; color: inherit;\"><\/span><\/span><\/span><span style=\"line-height: normal; cursor: auto; color: inherit;\"><\/span><\/span><\/nobr><span style=\"line-height: normal; cursor: auto; color: inherit;\"><\/p>\n<math style=\"cursor: auto; color: inherit;\"><mn style=\"cursor: auto; color: inherit;\">0.20<\/mn><\/math>\n<p><\/span><\/span><span style=\"cursor: auto; color: inherit;\">&nbsp;<\/span>and the number of trials is<span style=\"cursor: auto; color: inherit;\">&nbsp;<\/span><span style=\"line-height: normal; cursor: auto; color: inherit;\" data-mathml=\"\n\n<math xmlns=&quot;http:\/\/www.w3.org\/1998\/Math\/MathML&quot;><mn>100<\/mn><mrow class=&quot;MJX-TeXAtom-ORD&quot;><mtext mathvariant=&quot;sans-serif&quot;>,<\/mtext><\/mrow><\/math>\n<p>&#8220;><nobr style=\"line-height: normal; cursor: auto; color: inherit;\" aria-hidden=\"true\"><span style=\"line-height: normal; cursor: auto; color: inherit;\"><span style=\"font-size: 17.36px; line-height: normal; cursor: auto; color: inherit;\"><span style=\"line-height: normal; cursor: auto; color: inherit;\"><span style=\"line-height: normal; cursor: auto; color: inherit;\"><span style=\"line-height: normal; cursor: auto; color: inherit;\">100<\/span><span style=\"line-height: normal; cursor: auto; color: inherit;\"><span style=\"line-height: normal; cursor: auto; color: inherit;\"><span style=\"line-height: normal; cursor: auto; color: inherit;\">,<\/span><\/span><\/span><\/span><span style=\"line-height: normal; cursor: auto; color: inherit;\"><\/span><\/span><\/span><span style=\"line-height: normal; cursor: auto; color: inherit;\"><\/span><\/span><\/nobr><span style=\"line-height: normal; cursor: auto; color: inherit;\"><\/p>\n<math style=\"cursor: auto; color: inherit;\"><mn style=\"cursor: auto; color: inherit;\">100<\/mn><mrow style=\"cursor: auto; color: inherit;\"><mtext style=\"cursor: auto; color: inherit;\">,<\/mtext><\/mrow><\/math>\n<p><\/span><\/span><span style=\"cursor: auto; color: inherit;\">&nbsp;<\/span>then the number of successes is<span style=\"cursor: auto; color: inherit;\">&nbsp;<\/span><span style=\"line-height: normal; cursor: auto; color: inherit;\" data-mathml=\"\n\n<math xmlns=&quot;http:\/\/www.w3.org\/1998\/Math\/MathML&quot;><mn>20<\/mn><mrow class=&quot;MJX-TeXAtom-ORD&quot;><mtext mathvariant=&quot;sans-serif&quot;>.<\/mtext><\/mrow><\/math>\n<p>&#8220;><nobr style=\"line-height: normal; cursor: auto; color: inherit;\" aria-hidden=\"true\"><span style=\"line-height: normal; cursor: auto; color: inherit;\"><span style=\"font-size: 17.36px; line-height: normal; cursor: auto; color: inherit;\"><span style=\"line-height: normal; cursor: auto; color: inherit;\"><span style=\"line-height: normal; cursor: auto; color: inherit;\"><span style=\"line-height: normal; cursor: auto; color: inherit;\">20<\/span><span style=\"line-height: normal; cursor: auto; color: inherit;\"><span style=\"line-height: normal; cursor: auto; color: inherit;\"><span style=\"line-height: normal; cursor: auto; color: inherit;\">.<\/span><\/span><\/span><\/span><span style=\"line-height: normal; cursor: auto; color: inherit;\"><\/span><\/span><\/span><span style=\"line-height: normal; cursor: auto; color: inherit;\"><\/span><\/span><\/nobr><span style=\"line-height: normal; cursor: auto; color: inherit;\"><\/p>\n<math style=\"cursor: auto; color: inherit;\"><mn style=\"cursor: auto; color: inherit;\">20<\/mn><mrow style=\"cursor: auto; color: inherit;\"><mtext style=\"cursor: auto; color: inherit;\">.<\/mtext><\/mrow><\/math>\n<p><\/span><\/span><\/p>\n<ul style=\"font-size: 14px; cursor: auto; color: inherit;\">\n<li style=\"padding-bottom: 5px; cursor: auto; color: inherit;\">What are the numbers of trials, successes, and failures?<\/li>\n<li style=\"padding-bottom: 5px; cursor: auto; color: inherit;\">What are the results of the experiment?<\/li>\n<li style=\"padding-bottom: 5px; cursor: auto; color: inherit;\">What is the difference between the empirical and theoretical probabilities? Identify trends in the outcomes.<\/li>\n<\/ul>\n<p style=\"cursor: auto; color: inherit;\">\n<\/div>\n<\/div>\n<p><br style=\"cursor: auto; color: inherit;\"><\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Design a probability model that models a real-world situation, and identify the possible outcomes and sample space of the model. Analyze the results of the experiment, and compare theoretical and empirical outcomes. Design a binomial probability experiment. Find a public opinion poll from a media source that predicts a probability. Design a probability experiment that [&hellip;]<\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"open","ping_status":"closed","template":"","meta":[],"disciplines":[20],"paper_types":[],"tagged":[],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/www.writemyessays.app\/blog\/wp-json\/wp\/v2\/questions\/10042"}],"collection":[{"href":"https:\/\/www.writemyessays.app\/blog\/wp-json\/wp\/v2\/questions"}],"about":[{"href":"https:\/\/www.writemyessays.app\/blog\/wp-json\/wp\/v2\/types\/questions"}],"author":[{"embeddable":true,"href":"https:\/\/www.writemyessays.app\/blog\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/www.writemyessays.app\/blog\/wp-json\/wp\/v2\/comments?post=10042"}],"version-history":[{"count":0,"href":"https:\/\/www.writemyessays.app\/blog\/wp-json\/wp\/v2\/questions\/10042\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.writemyessays.app\/blog\/wp-json\/wp\/v2\/media?parent=10042"}],"wp:term":[{"taxonomy":"disciplines","embeddable":true,"href":"https:\/\/www.writemyessays.app\/blog\/wp-json\/wp\/v2\/disciplines?post=10042"},{"taxonomy":"paper_types","embeddable":true,"href":"https:\/\/www.writemyessays.app\/blog\/wp-json\/wp\/v2\/paper_types?post=10042"},{"taxonomy":"tagged","embeddable":true,"href":"https:\/\/www.writemyessays.app\/blog\/wp-json\/wp\/v2\/tagged?post=10042"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}