{"id":4966,"date":"2022-08-17T16:27:23","date_gmt":"2022-08-17T16:27:23","guid":{"rendered":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/?post_type=chapter&p=4966"},"modified":"2022-08-17T16:27:23","modified_gmt":"2022-08-17T16:27:23","slug":"7c-coreq","status":"publish","type":"chapter","link":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/chapter\/7c-coreq\/","title":{"raw":"7C Coreq","rendered":"7C Coreq"},"content":{"raw":"In the next preview assignment and in the next class, you will continue to use contingency tables to calculate probabilities and extend to the new concept of\u00a0 conditional probabilities.\r\n\r\nBasic Probabilities\r\n
\r\n

Question 1<\/h3>\r\nIf someone has a laptop, are they likely to own a desktop computer? If someone has\u00a0 a desktop computer, are they likely to own a laptop? Suppose a researcher conducts\u00a0 a survey of 120 randomly selected college students to try to answer these questions.\u00a0 The results of the survey are displayed in the following table.\r\n
\r\n\r\n\r\n\r\n\r\n\r\n\r\n
<\/td>\r\nOwns laptop<\/td>\r\nDoes not own\r\n\r\nlaptop<\/td>\r\nTotal<\/td>\r\n<\/tr>\r\n
Owns desktop<\/td>\r\n20<\/td>\r\n20<\/td>\r\n40<\/td>\r\n<\/tr>\r\n
Does not own\r\n\r\ndesktop<\/td>\r\n60<\/td>\r\n20<\/td>\r\n80<\/td>\r\n<\/tr>\r\n
Total<\/td>\r\n80<\/td>\r\n40<\/td>\r\n120<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n<\/div>\r\n
    \r\n \t
  1. Calculate the probability that a student owns a laptop. Round to the nearest\u00a0 hundredth.<\/li>\r\n \t
  2. Calculate the probability that a randomly selected student owns a desktop\u00a0 computer. Round to the nearest hundredth.<\/li>\r\n \t
  3. Calculate the probability that a randomly selected student owns a desktop\u00a0 computer AND a laptop. Round to the nearest hundredth.<\/li>\r\n \t
  4. Calculate the probability that a randomly selected student owns a desktop\u00a0 computer OR a laptop? Round to the nearest hundredth.<\/li>\r\n<\/ol>\r\n<\/div>\r\nConditional Probabilities\r\n
    \r\n

    Question 2<\/h3>\r\nContinue using the results of the previous study to answer the following questions.\r\n
      \r\n \t
    1. Calculate the probability that a randomly selected student owns a laptop\u00a0 GIVEN they own a desktop computer. Round to the nearest hundredth.<\/li>\r\n \t
    2. Calculate the probability that a randomly selected student owns a desktop\u00a0 computer GIVEN they own a laptop. Round to the nearest hundredth.<\/li>\r\n \t
    3. If a randomly selected student told you they own a desktop computer, would\u00a0 you guess they also own a laptop? Explain.<\/li>\r\n \t
    4. If a randomly selected classmate told you they own a laptop, would you\u00a0 guess they also own a desktop computer? Explain.<\/li>\r\n<\/ol>\r\n<\/div>\r\n ","rendered":"

      In the next preview assignment and in the next class, you will continue to use contingency tables to calculate probabilities and extend to the new concept of\u00a0 conditional probabilities.<\/p>\n

      Basic Probabilities<\/p>\n

      \n

      Question 1<\/h3>\n

      If someone has a laptop, are they likely to own a desktop computer? If someone has\u00a0 a desktop computer, are they likely to own a laptop? Suppose a researcher conducts\u00a0 a survey of 120 randomly selected college students to try to answer these questions.\u00a0 The results of the survey are displayed in the following table.<\/p>\n

      \n\n\n\n\n\n\n
      <\/td>\nOwns laptop<\/td>\nDoes not own<\/p>\n

      laptop<\/td>\n

      		Total<\/td>\n<\/tr>\n
      Owns desktop<\/td>\n20<\/td>\n20<\/td>\n40<\/td>\n<\/tr>\n
      Does not own<\/p>\n

      desktop<\/td>\n

      		60<\/td>\n20<\/td>\n80<\/td>\n<\/tr>\n
      Total<\/td>\n80<\/td>\n40<\/td>\n120<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n
        \n
      1. Calculate the probability that a student owns a laptop. Round to the nearest\u00a0 hundredth.<\/li>\n
      2. Calculate the probability that a randomly selected student owns a desktop\u00a0 computer. Round to the nearest hundredth.<\/li>\n
      3. Calculate the probability that a randomly selected student owns a desktop\u00a0 computer AND a laptop. Round to the nearest hundredth.<\/li>\n
      4. Calculate the probability that a randomly selected student owns a desktop\u00a0 computer OR a laptop? Round to the nearest hundredth.<\/li>\n<\/ol>\n<\/div>\n

        Conditional Probabilities<\/p>\n

        \n

        Question 2<\/h3>\n

        Continue using the results of the previous study to answer the following questions.<\/p>\n

          \n
        1. Calculate the probability that a randomly selected student owns a laptop\u00a0 GIVEN they own a desktop computer. Round to the nearest hundredth.<\/li>\n
        2. Calculate the probability that a randomly selected student owns a desktop\u00a0 computer GIVEN they own a laptop. Round to the nearest hundredth.<\/li>\n
        3. If a randomly selected student told you they own a desktop computer, would\u00a0 you guess they also own a laptop? Explain.<\/li>\n
        4. If a randomly selected classmate told you they own a laptop, would you\u00a0 guess they also own a desktop computer? Explain.<\/li>\n<\/ol>\n<\/div>\n

           <\/p>\n","protected":false},"author":574340,"menu_order":8,"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-4966","chapter","type-chapter","status-publish","hentry"],"part":4871,"_links":{"self":[{"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/pressbooks\/v2\/chapters\/4966","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":1,"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/pressbooks\/v2\/chapters\/4966\/revisions"}],"predecessor-version":[{"id":4967,"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/pressbooks\/v2\/chapters\/4966\/revisions\/4967"}],"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\/4966\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/wp\/v2\/media?parent=4966"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/pressbooks\/v2\/chapter-type?post=4966"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/wp\/v2\/contributor?post=4966"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/wp\/v2\/license?post=4966"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}