[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-503119-105":59,"doc-detail-503119-en":131},{"code":4,"msg":5,"data":6},0,"success",[7,13,18,23,28,33,38,43,48,51,55],{"id":8,"doc_module":4,"doc_module_name":9,"category_name":10,"show_sort_weight":11,"slug":12},1,"Document","Story & Novel",90,"story-novel",{"id":14,"doc_module":4,"doc_module_name":9,"category_name":15,"show_sort_weight":16,"slug":17},2,"Literature",80,"literature",{"id":19,"doc_module":4,"doc_module_name":9,"category_name":20,"show_sort_weight":21,"slug":22},4,"Exam",70,"exam",{"id":24,"doc_module":4,"doc_module_name":9,"category_name":25,"show_sort_weight":26,"slug":27},5,"Comic",60,"comic",{"id":29,"doc_module":4,"doc_module_name":9,"category_name":30,"show_sort_weight":31,"slug":32},6,"Technology",50,"technology",{"id":34,"doc_module":4,"doc_module_name":9,"category_name":35,"show_sort_weight":36,"slug":37},7,"Healthcare",40,"healthcare",{"id":39,"doc_module":4,"doc_module_name":9,"category_name":40,"show_sort_weight":41,"slug":42},8,"Research & Report",30,"research-report",{"id":44,"doc_module":4,"doc_module_name":9,"category_name":45,"show_sort_weight":46,"slug":47},9,"Religion & Spirituality",20,"religion-spirituality",{"id":46,"doc_module":4,"doc_module_name":9,"category_name":49,"show_sort_weight":46,"slug":50},"World Cup","world-cup",{"id":52,"doc_module":4,"doc_module_name":9,"category_name":53,"show_sort_weight":52,"slug":54},10,"Lifestyle","lifestyle",{"id":56,"doc_module":4,"doc_module_name":9,"category_name":57,"show_sort_weight":24,"slug":58},19,"General","general",{"code":4,"msg":60,"data":61},"ok",{"site_id":62,"language":63,"slug":64,"title":65,"keywords":66,"description":67,"schema_data":68,"social_meta":124,"head_meta":126,"extra_data":128,"updated_unix":130},105,"en","statistics-111-quiz-5","Statistics 111 - Quiz 5","","This document contains the fifth quiz for the Statistics 111 course, comprising nine comprehensive problems designed to test students' mastery of probability theory and statistical analysis. Key topics covered include normal distribution applications for IQ scores, conditional probability involving independent events, combinatorics and permutations of identical items, hypergeometric probability in card games, and Bayes' theorem applications for population demographics. Additionally, the quiz assesses understanding of geometric and binomial distributions, as well as Poisson distribution modeling for event interruptions. It serves as a rigorous practice set for evaluating student comprehension of foundational statistical concepts and real-world data application.",{"@graph":69,"@context":123},[70,84,106],{"@type":71,"itemListElement":72},"BreadcrumbList",[73,77,79,82],{"item":74,"name":75,"@type":76,"position":8},"https://docshare.wps.com","Home","ListItem",{"item":78,"name":9,"@type":76,"position":14},"https://docshare.wps.com/document/",{"item":80,"name":20,"@type":76,"position":81},"https://docshare.wps.com/document/exam/",3,{"item":83,"name":65,"@type":76,"position":19},"https://docshare.wps.com/document/statistics-111-quiz-5/503119/",{"url":83,"name":65,"@type":85,"image":86,"author":91,"headline":65,"publisher":94,"fileFormat":97,"inLanguage":63,"description":67,"dateModified":98,"datePublished":99,"encodingFormat":97,"isAccessibleForFree":100,"interactionStatistic":101},"DigitalDocument",{"url":87,"@type":88,"width":89,"height":90},"https://docshare.wps.com/thumbnails/statistics-111-quiz-5/503119.png","ImageObject",300,407,{"name":92,"@type":93},"Aran","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-11-08","2026-10-03",true,{"@type":102,"interactionType":103,"userInteractionCount":105},"InteractionCounter",{"@type":104},"ViewAction",12,{"@type":107,"mainEntity":108},"FAQPage",[109,115,119],{"name":110,"@type":111,"acceptedAnswer":112},"How do you calculate the IQ score required to be in the top 1%?","Question",{"text":113,"@type":114},"Using the normal distribution properties with a mean of 100 and a standard deviation of 16, you would calculate the z-score corresponding to the 99th percentile and solve for X.","Answer",{"name":116,"@type":111,"acceptedAnswer":117},"What formula is appropriate for finding the probability of winning three or more games in ten trials?",{"text":118,"@type":114},"Since each game is an independent Bernoulli trial, the binomial distribution formula should be used to calculate the probability of success for X >= 3.",{"name":120,"@type":111,"acceptedAnswer":121},"How is the probability of class interruptions calculated using the given average?",{"text":122,"@type":114},"Because interruptions are independent events occurring at a constant average rate over time, the Poisson distribution formula is the correct model to determine the likelihood of a specific number of interruptions occurring during a lecture.","https://schema.org",{"og:url":83,"og:type":125,"og:title":65,"og:site_name":95,"og:description":67},"article",{"robots":127,"canonical":83},"index,follow",{"doc_id":129,"site_id":62},503119,1791593370,{"code":4,"msg":5,"data":132},{"doc_id":129,"user_id":133,"nickname":92,"user_avatar":134,"doc_module":4,"category_id":19,"category_name":20,"doc_title":65,"doc_description":67,"doc_content":135,"file_id":136,"file_url":137,"file_type":138,"file_size":139,"view_count":105,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":8,"language":140,"language_code":63,"site_id":62,"html_lang":63,"table_of_contents":141,"faqs":142,"seo_title":143,"seo_description":67,"update_tm":144,"read_time":81,"preview_page_count":4},137455076865,"https://ap-avatar.wpscdn.com/davatar_29158cc5080c5b710cf443261637dec0","LAST NAME (Print):  FIRST:   \nStatistics 111 Quiz 5  \n 1. Suppose Mensa only accepted people in the top 1% of IQ score. What score would you need? (Assume that IQs are approximately normally distributed with mean 100, sd 16.)  \n 2. For an exam, you need a working calculator and a writing utensil. Your calculator has probability 0.3 of failing. Your pencil has probability 0.4 of breaking. And your pen has probability 0.5 of being dry. What is the probability that you pass?  \n 3. In how many visually distinct ways can five children line up at a water fountain, if three of the children are identically dressed identical triplets?  \n 4. What is the chance of holding exactly three hearts when dealt five cards from a standard deck?  \n 5. Suppose that 80% of freshmen eat on campus, as do 40% of sophomores, 30% of juniors, and 10% of seniors. And assume the school has 1000 freshmen, 800 sophomores, 800 juniors, and 600 seniors. If you meet someone at the Marketplace, what is the chance that she is a sophomore?  \n 6. You decide not to stop playing the Minefield game until you win. Each time you play, you have a 10% chance of winning. What is the probability that you stop on the fourth game?  \n 7. You play ten games of solitaire. Each time, you have probability 0.2 of winning. What is the probability that you win three or more games?  \n8. On average, class is interrupted by 2.3 phone tones each lecture.  \n What is the probability of exactly three such interruptions in the next lecture?  \n What is the probability of at least one interruption?  \n 9. What is the probability that no one, among four people, was born in the same month? Assume equal birth rates in all months.","cbCaiohFojiIydgm","https://ap.wps.com/l/cbCaiohFojiIydgm","pdf",15691,"English","# Statistics 111 Quiz 5\n## Problem 1: Normal Distribution of IQ Scores\n## Problem 2: Independent Event Probabilities\n## Problem 3: Combinations and Permutations\n## Problem 4: Hypergeometric Probability\n## Problem 5: Bayes' Theorem and Conditional Probability\n## Problem 6: Geometric Distribution\n## Problem 7: Binomial Distribution\n## Problem 8: Poisson Distribution\n## Problem 9: Birthday Month Probability","[{\"question\":\"How do you calculate the IQ score required to be in the top 1%?\",\"answer\":\"Using the normal distribution properties with a mean of 100 and a standard deviation of 16, you would calculate the z-score corresponding to the 99th percentile and solve for X.\"},{\"question\":\"What formula is appropriate for finding the probability of winning three or more games in ten trials?\",\"answer\":\"Since each game is an independent Bernoulli trial, the binomial distribution formula should be used to calculate the probability of success for X \\u003e= 3.\"},{\"question\":\"How is the probability of class interruptions calculated using the given average?\",\"answer\":\"Because interruptions are independent events occurring at a constant average rate over time, the Poisson distribution formula is the correct model to determine the likelihood of a specific number of interruptions occurring during a lecture.\"}]","Statistics 111 - Quiz 5 | PDF",1791050407]