{"id":4983,"date":"2022-08-17T17:04:13","date_gmt":"2022-08-17T17:04:13","guid":{"rendered":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/?post_type=chapter&p=4983"},"modified":"2022-08-17T17:06:38","modified_gmt":"2022-08-17T17:06:38","slug":"7d-coreq","status":"publish","type":"chapter","link":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/chapter\/7d-coreq\/","title":{"raw":"7D Coreq","rendered":"7D Coreq"},"content":{"raw":"In the next preview assignment and in the next class, you will need to create hypothetical tables to assist in answering conditional probability questions.\r\n\r\nBrand Loyalty\r\n\r\nIf a college student has an Apple computer, are they likely to own an iPhone? How can we calculate this probability based on known information?\r\n\r\nLet\u2019s explore this idea.\r\n
\r\n

Question 1<\/h3>\r\nA survey was administered to 120 college students. One third of the students own\u00a0 an Android Phone, two thirds of the students own an iPhone, and one half of the\u00a0 students who own an Apple computer also own an iPhone. Of the students who do\u00a0 not own an Apple computer, three fourths own an iPhone.\r\n\r\nAnswer the following questions to complete the table and then calculate the\u00a0 probability that a student (randomly selected from those surveyed) who is an Apple\u00a0 computer owner also owns an iPhone.\r\n
\r\n\r\n\r\n\r\n\r\n\r\n\r\n
<\/td>\r\niPhone<\/td>\r\nAndroid Phone<\/td>\r\nTotal<\/td>\r\n<\/tr>\r\n
Owns Apple\u00a0 computer<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/tr>\r\n
Does not\r\n\r\nown Apple\r\n\r\ncomputer<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/tr>\r\n
Total<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n<\/div>\r\n
    \r\n \t
  1. Add the total number of students surveyed to the table.<\/li>\r\n \t
  2. Given that \u201cone third of the students own an Android Phone,\u201d add the\u00a0 appropriate number to the table.<\/li>\r\n \t
  3. Given that \u201ctwo thirds of the students own an iPhone,\u201d add the appropriate\u00a0 number to the table.<\/li>\r\n \t
  4. Given that \u201cone half of the students who own an Apple computer also own an\u00a0 iPhone,\u201d add the appropriate number to the table.<\/li>\r\n \t
  5. Given that \u201cof the students who do not own an Apple computer, three fourths own an iPhone,\u201d add the appropriate number to the table.<\/li>\r\n \t
  6. What is the probability that a randomly selected Apple computer owner also\u00a0 owns an iPhone?<\/li>\r\n<\/ol>\r\n<\/div>\r\nMore on Conditional Probability\r\n
    \r\n

    Question 2<\/h3>\r\nRefer to Question 1 to answer Parts a and b.\r\n
      \r\n \t
    1. Write two conditional probability questions.<\/li>\r\n \t
    2. Answer the questions you wrote in Part a. Use appropriate notation.<\/li>\r\n<\/ol>\r\n<\/div>\r\n ","rendered":"

      In the next preview assignment and in the next class, you will need to create hypothetical tables to assist in answering conditional probability questions.<\/p>\n

      Brand Loyalty<\/p>\n

      If a college student has an Apple computer, are they likely to own an iPhone? How can we calculate this probability based on known information?<\/p>\n

      Let\u2019s explore this idea.<\/p>\n

      \n

      Question 1<\/h3>\n

      A survey was administered to 120 college students. One third of the students own\u00a0 an Android Phone, two thirds of the students own an iPhone, and one half of the\u00a0 students who own an Apple computer also own an iPhone. Of the students who do\u00a0 not own an Apple computer, three fourths own an iPhone.<\/p>\n

      Answer the following questions to complete the table and then calculate the\u00a0 probability that a student (randomly selected from those surveyed) who is an Apple\u00a0 computer owner also owns an iPhone.<\/p>\n

      \n\n\n\n\n\n\n
      <\/td>\niPhone<\/td>\nAndroid Phone<\/td>\nTotal<\/td>\n<\/tr>\n
      Owns Apple\u00a0 computer<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/tr>\n
      Does not<\/p>\n

      own Apple<\/p>\n

      computer<\/td>\n

      		<\/td>\n<\/td>\n<\/td>\n<\/tr>\n
      Total<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n
        \n
      1. Add the total number of students surveyed to the table.<\/li>\n
      2. Given that \u201cone third of the students own an Android Phone,\u201d add the\u00a0 appropriate number to the table.<\/li>\n
      3. Given that \u201ctwo thirds of the students own an iPhone,\u201d add the appropriate\u00a0 number to the table.<\/li>\n
      4. Given that \u201cone half of the students who own an Apple computer also own an\u00a0 iPhone,\u201d add the appropriate number to the table.<\/li>\n
      5. Given that \u201cof the students who do not own an Apple computer, three fourths own an iPhone,\u201d add the appropriate number to the table.<\/li>\n
      6. What is the probability that a randomly selected Apple computer owner also\u00a0 owns an iPhone?<\/li>\n<\/ol>\n<\/div>\n

        More on Conditional Probability<\/p>\n

        \n

        Question 2<\/h3>\n

        Refer to Question 1 to answer Parts a and b.<\/p>\n

          \n
        1. Write two conditional probability questions.<\/li>\n
        2. Answer the questions you wrote in Part a. Use appropriate notation.<\/li>\n<\/ol>\n<\/div>\n

           <\/p>\n","protected":false},"author":574340,"menu_order":11,"template":"","meta":{"_candela_citation":"[]","CANDELA_OUTCOMES_GUID":"","pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[],"contributor":[],"license":[],"class_list":["post-4983","chapter","type-chapter","status-publish","hentry"],"part":4871,"_links":{"self":[{"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/pressbooks\/v2\/chapters\/4983","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/wp\/v2\/users\/574340"}],"version-history":[{"count":3,"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/pressbooks\/v2\/chapters\/4983\/revisions"}],"predecessor-version":[{"id":4987,"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/pressbooks\/v2\/chapters\/4983\/revisions\/4987"}],"part":[{"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/pressbooks\/v2\/parts\/4871"}],"metadata":[{"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/pressbooks\/v2\/chapters\/4983\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/wp\/v2\/media?parent=4983"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/pressbooks\/v2\/chapter-type?post=4983"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/wp\/v2\/contributor?post=4983"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/wp\/v2\/license?post=4983"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}