{"id":263974,"date":"2025-07-21T10:26:03","date_gmt":"2025-07-21T10:26:03","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=263974"},"modified":"2025-07-21T10:26:05","modified_gmt":"2025-07-21T10:26:05","slug":"holiday-shopping-macys-target-totals-age-29-39-35-30-65-age-18-28-42-75-117-totals-77-105-182-enter-answer-as-an-unreduced-fraction-using-for-division-using-no-spaces-between-it-and-the-numbers","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/07\/21\/holiday-shopping-macys-target-totals-age-29-39-35-30-65-age-18-28-42-75-117-totals-77-105-182-enter-answer-as-an-unreduced-fraction-using-for-division-using-no-spaces-between-it-and-the-numbers\/","title":{"rendered":"Holiday Shopping Macy&#8217;s Target Totals Age 29-39 35 30 65 Age 18-28 42 75 117 Totals 77 105 182 Enter answer as an unreduced fraction, using \/ for division using no spaces between it and the numbers"},"content":{"rendered":"\n<p>Holiday Shopping Macy&#8217;s Target Totals Age 29-39 35 30 65 Age 18-28 42 75 117 Totals 77 105 182 Enter answer as an unreduced fraction, using \/ for division using no spaces between it and the numbers. For example, 3 divided by 4 would be entered 3\/4. Answer: Using the table from class today, find P(Macy&#8217;s and age 29-39) Holiday Shopping Macy&#8217;s Target Totals Age 29-39 35 30 65 Age 18-28 42 75 117 Totals 77 105 182 Enter answer as a product of two unreduced fractions, using \/ for division and * for multiplication, using no spaces between the operations and the numbers. For example, three fourths multiplied by five thirds would be entered 3\/4*5\/3.<\/p>\n\n\n\n<p><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-1-color\">The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n<p>To find P(Macy\u2019s&nbsp;and&nbsp;age&nbsp;29-39)P(\\text{Macy&#8217;s and age 29-39})P(Macy\u2019s&nbsp;and&nbsp;age&nbsp;29-39), we can use the joint probability formula. This formula is based on the ratio of the number of events (in this case, people who shopped at Macy&#8217;s and are between the ages of 29-39) to the total number of observations (total people in the survey).<\/p>\n\n\n\n<p>From the table:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>The number of people who shopped at Macy&#8217;s and are in the age group 29-39 is 35.<\/li>\n\n\n\n<li>The total number of people surveyed is 182.<\/li>\n<\/ul>\n\n\n\n<p>Thus, we have: P(Macy\u2019s&nbsp;and&nbsp;age&nbsp;29-39)=Number&nbsp;of&nbsp;people&nbsp;who&nbsp;shopped&nbsp;at&nbsp;Macy\u2019s&nbsp;and&nbsp;are&nbsp;in&nbsp;age&nbsp;29-39Total&nbsp;number&nbsp;of&nbsp;people&nbsp;surveyed=35182P(\\text{Macy&#8217;s and age 29-39}) = \\frac{\\text{Number of people who shopped at Macy&#8217;s and are in age 29-39}}{\\text{Total number of people surveyed}} = \\frac{35}{182}P(Macy\u2019s&nbsp;and&nbsp;age&nbsp;29-39)=Total&nbsp;number&nbsp;of&nbsp;people&nbsp;surveyedNumber&nbsp;of&nbsp;people&nbsp;who&nbsp;shopped&nbsp;at&nbsp;Macy\u2019s&nbsp;and&nbsp;are&nbsp;in&nbsp;age&nbsp;29-39\u200b=18235\u200b<\/p>\n\n\n\n<p>Now, to represent the answer as a product of two unreduced fractions, let&#8217;s break down the total number of people into two parts:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>The probability of being in the Macy&#8217;s category is 77182\\frac{77}{182}18277\u200b (since 77 people shopped at Macy&#8217;s).<\/li>\n\n\n\n<li>The probability of being in the age 29-39 category is 65182\\frac{65}{182}18265\u200b (since 65 people are in this age range).<\/li>\n<\/ul>\n\n\n\n<p>To find the joint probability (shopping at Macy&#8217;s * being in the age 29-39 group), we multiply these two fractions: P(Macy\u2019s&nbsp;and&nbsp;age&nbsp;29-39)=77182\u221765182P(\\text{Macy&#8217;s and age 29-39}) = \\frac{77}{182} * \\frac{65}{182}P(Macy\u2019s&nbsp;and&nbsp;age&nbsp;29-39)=18277\u200b\u221718265\u200b<\/p>\n\n\n\n<p>This is the answer in the form of two unreduced fractions.<\/p>\n\n\n\n<p>So, the final answer is: 77182\u221765182\\frac{77}{182}* \\frac{65}{182}18277\u200b\u221718265\u200b<\/p>\n\n\n\n<p>This gives the joint probability as a product of two unreduced fractions.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" src=\"https:\/\/learnexams.com\/blog\/wp-content\/uploads\/2025\/07\/learnexams-banner6-1354.jpeg\" alt=\"\" class=\"wp-image-263978\"\/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>Holiday Shopping Macy&#8217;s Target Totals Age 29-39 35 30 65 Age 18-28 42 75 117 Totals 77 105 182 Enter answer as an unreduced fraction, using \/ for division using no spaces between it and the numbers. For example, 3 divided by 4 would be entered 3\/4. Answer: Using the table from class today, find [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","ast-disable-related-posts":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"categories":[25],"tags":[],"class_list":["post-263974","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/263974","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/comments?post=263974"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/263974\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=263974"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=263974"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=263974"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}