{"id":4995,"date":"2022-08-17T17:25:09","date_gmt":"2022-08-17T17:25:09","guid":{"rendered":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/?post_type=chapter&p=4995"},"modified":"2022-08-17T17:25:09","modified_gmt":"2022-08-17T17:25:09","slug":"7d-preview","status":"publish","type":"chapter","link":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/chapter\/7d-preview\/","title":{"raw":"7D Preview","rendered":"7D Preview"},"content":{"raw":"Preparing for the next class\r\n\r\nIn the next in-class activity, you will need to create contingency tables and calculate\u00a0 conditional probabilities.\r\n
\r\n

Question 1<\/h3>\r\nRafael travels to work each day either by bus or by bike. We have data from 100 of\u00a0 Rafael\u2019s trips to work.\r\n
    \r\n \t
  1. Use the row and column totals to complete the table below.\r\n
    \r\n\r\n\r\n\r\n\r\n\r\n\r\n
    <\/td>\r\nBike<\/td>\r\nBus<\/td>\r\nTotal<\/td>\r\n<\/tr>\r\n
    Rain<\/td>\r\n5<\/td>\r\n<\/td>\r\n20<\/td>\r\n<\/tr>\r\n
    No Rain<\/td>\r\n<\/td>\r\n20<\/td>\r\n80<\/td>\r\n<\/tr>\r\n
    Total<\/td>\r\n65<\/td>\r\n35<\/td>\r\n100<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n<\/div><\/li>\r\n \t
  2. Calculate the probability that on a randomly selected day it rains AND Rafael\u00a0 rides his bike. Round to the nearest hundredth.<\/li>\r\n \t
  3. Calculate the probability that on a randomly selected day Rafael rides his\u00a0 bike GIVEN it rains. Round to the nearest hundredth.<\/li>\r\n \t
  4. You work with Rafael but have different shifts. You arrive at work at 6 AM\u00a0 and Rafael arrives at work at noon. Once Rafael arrives, you overhear him\u00a0 say that he rode his bike to work. What is the probability that it is raining? Round to the nearest hundredth.<\/li>\r\n \t
  5. You work with Rafael but have different shifts. You arrive at work at 6 AM\u00a0 and Rafael arrives at work at noon. Once Rafael arrives, you overhear him\u00a0 say that he rode the bus to work. What is the probability that it is raining?\u00a0 Round to the nearest hundredth.<\/li>\r\n<\/ol>\r\n<\/div>\r\n \r\n
    \r\n

    Question 2<\/h3>\r\nMali travels to work each day either by walking or riding her bike. It turns out that\u00a0 15% of the days are rainy. On a rainy day, there is an 80% chance she walks to\u00a0 work. If it is not raining, there is a 30% chance she walks to work.\r\n\r\nOn Monday, you have no idea whether it\u2019s raining or not. Then Mali walks into work\u00a0 with her bike helmet, which tells you she biked to work. What is the probability that it\u00a0 is raining?\r\n\r\nWe are provided the probability that Mali walks to work given it is raining, but we\u00a0 want to calculate the probability that it is raining given she biked to work.\r\n\r\nIn this question, we are not given the table to directly answer the questions, so one\u00a0 common problem-solving strategy is to create a table using a hypothetical number of\u00a0 responses.\r\n\r\nIn Parts a through i, use a hypothetical sample of 1,000 days. Note that you could\u00a0 use any hypothetical number of days, but using a number like 1,000 usually makes\u00a0 the calculations easier.\r\n
      \r\n \t
    1. As you work through the remaining parts of this question, complete the table.\r\n
      \r\n\r\n\r\n\r\n\r\n\r\n\r\n
      <\/td>\r\nBike<\/td>\r\nWalk<\/td>\r\nTotal<\/td>\r\n<\/tr>\r\n
      Rain<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/tr>\r\n
      No Rain<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/tr>\r\n
      Total<\/td>\r\n<\/td>\r\n<\/td>\r\n1,000<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n<\/div><\/li>\r\n \t
    2. Use the given information \u201c15% of the days are rainy\u201d to calculate the value\u00a0 and add it to the table.<\/li>\r\n \t
    3. Use the given information \u201cOn a rainy day, there is an 80% chance she\u00a0 walks to work\u201d to calculate the value and add it to the table.<\/li>\r\n \t
    4. Use the answers to Parts B and C to calculate the number of days it rains\u00a0 AND she bikes.<\/li>\r\n \t
    5. Calculate the number of days that there is no rain.\r\nHint: The row totals should add up to 1,000.<\/li>\r\n \t
    6. Use the given information \u201cIf it is not raining, there is a 30% chance she\u00a0 walks to work\u201d to calculate the value and add it to the table.<\/li>\r\n \t
    7. Calculate the number of days it does not rain AND she bikes.<\/li>\r\n \t
    8. Fill in the two remaining cells of the table.<\/li>\r\n \t
    9. Finally! Answer the original question:\r\n\r\nOn Monday, you have no idea whether it\u2019s raining or not. Then Mali walks\u00a0 into work with her bike helmet, which tells you she biked to work. What is the\u00a0 probability that it is raining? Round to the nearest hundredth.<\/li>\r\n<\/ol>\r\n<\/div>","rendered":"

      Preparing for the next class<\/p>\n

      In the next in-class activity, you will need to create contingency tables and calculate\u00a0 conditional probabilities.<\/p>\n

      \n

      Question 1<\/h3>\n

      Rafael travels to work each day either by bus or by bike. We have data from 100 of\u00a0 Rafael\u2019s trips to work.<\/p>\n

        \n
      1. Use the row and column totals to complete the table below.\n
        \n\n\n\n\n\n\n
        <\/td>\nBike<\/td>\nBus<\/td>\nTotal<\/td>\n<\/tr>\n
        Rain<\/td>\n5<\/td>\n<\/td>\n20<\/td>\n<\/tr>\n
        No Rain<\/td>\n<\/td>\n20<\/td>\n80<\/td>\n<\/tr>\n
        Total<\/td>\n65<\/td>\n35<\/td>\n100<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<\/li>\n
      2. Calculate the probability that on a randomly selected day it rains AND Rafael\u00a0 rides his bike. Round to the nearest hundredth.<\/li>\n
      3. Calculate the probability that on a randomly selected day Rafael rides his\u00a0 bike GIVEN it rains. Round to the nearest hundredth.<\/li>\n
      4. You work with Rafael but have different shifts. You arrive at work at 6 AM\u00a0 and Rafael arrives at work at noon. Once Rafael arrives, you overhear him\u00a0 say that he rode his bike to work. What is the probability that it is raining? Round to the nearest hundredth.<\/li>\n
      5. You work with Rafael but have different shifts. You arrive at work at 6 AM\u00a0 and Rafael arrives at work at noon. Once Rafael arrives, you overhear him\u00a0 say that he rode the bus to work. What is the probability that it is raining?\u00a0 Round to the nearest hundredth.<\/li>\n<\/ol>\n<\/div>\n

         <\/p>\n

        \n

        Question 2<\/h3>\n

        Mali travels to work each day either by walking or riding her bike. It turns out that\u00a0 15% of the days are rainy. On a rainy day, there is an 80% chance she walks to\u00a0 work. If it is not raining, there is a 30% chance she walks to work.<\/p>\n

        On Monday, you have no idea whether it\u2019s raining or not. Then Mali walks into work\u00a0 with her bike helmet, which tells you she biked to work. What is the probability that it\u00a0 is raining?<\/p>\n

        We are provided the probability that Mali walks to work given it is raining, but we\u00a0 want to calculate the probability that it is raining given she biked to work.<\/p>\n

        In this question, we are not given the table to directly answer the questions, so one\u00a0 common problem-solving strategy is to create a table using a hypothetical number of\u00a0 responses.<\/p>\n

        In Parts a through i, use a hypothetical sample of 1,000 days. Note that you could\u00a0 use any hypothetical number of days, but using a number like 1,000 usually makes\u00a0 the calculations easier.<\/p>\n

          \n
        1. As you work through the remaining parts of this question, complete the table.\n
          \n\n\n\n\n\n\n
          <\/td>\nBike<\/td>\nWalk<\/td>\nTotal<\/td>\n<\/tr>\n
          Rain<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/tr>\n
          No Rain<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/tr>\n
          Total<\/td>\n<\/td>\n<\/td>\n1,000<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<\/li>\n
        2. Use the given information \u201c15% of the days are rainy\u201d to calculate the value\u00a0 and add it to the table.<\/li>\n
        3. Use the given information \u201cOn a rainy day, there is an 80% chance she\u00a0 walks to work\u201d to calculate the value and add it to the table.<\/li>\n
        4. Use the answers to Parts B and C to calculate the number of days it rains\u00a0 AND she bikes.<\/li>\n
        5. Calculate the number of days that there is no rain.
          \nHint: The row totals should add up to 1,000.<\/li>\n
        6. Use the given information \u201cIf it is not raining, there is a 30% chance she\u00a0 walks to work\u201d to calculate the value and add it to the table.<\/li>\n
        7. Calculate the number of days it does not rain AND she bikes.<\/li>\n
        8. Fill in the two remaining cells of the table.<\/li>\n
        9. Finally! Answer the original question:\n

          On Monday, you have no idea whether it\u2019s raining or not. Then Mali walks\u00a0 into work with her bike helmet, which tells you she biked to work. What is the\u00a0 probability that it is raining? Round to the nearest hundredth.<\/li>\n<\/ol>\n<\/div>\n","protected":false},"author":574340,"menu_order":13,"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-4995","chapter","type-chapter","status-publish","hentry"],"part":4871,"_links":{"self":[{"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/pressbooks\/v2\/chapters\/4995","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\/4995\/revisions"}],"predecessor-version":[{"id":4996,"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/pressbooks\/v2\/chapters\/4995\/revisions\/4996"}],"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\/4995\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/wp\/v2\/media?parent=4995"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/pressbooks\/v2\/chapter-type?post=4995"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/wp\/v2\/contributor?post=4995"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/wp\/v2\/license?post=4995"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}