{"id":431602,"date":"2018-03-25T19:03:25","date_gmt":"2018-03-25T19:03:25","guid":{"rendered":"https:\/\/essaypaper.org\/probability-assignment-essay-paper-paper\/"},"modified":"2018-10-24T08:52:02","modified_gmt":"2018-10-24T08:52:02","slug":"probability-assignment-essay-paper-paper","status":"publish","type":"post","link":"https:\/\/www.benedictsol.com\/blogs\/probability-assignment-essay-paper-paper\/","title":{"rendered":"Probability Assignment &#8211; Essay Paper Paper"},"content":{"rendered":"<div>\n<p><strong>QUESTION 1 Probability <\/strong><strong>Show all calculations\/reasoning<\/strong><\/p>\n<p>Guide to marks: 18 marks &#8211; 4 for (a), 5 for (b), 6 for (c), 3 for (d)<\/p>\n<p><strong>(a)\u00a0<\/strong> Define what is meant by a probability distribution.<\/p>\n<p>\u00a0\u00a0\u00a0\u00a0\u00a0 What is the difference between a discrete probability distribution and a continuous probability distribution?<\/p>\n<p>\u00a0\u00a0\u00a0\u00a0\u00a0 Give an example of your own for each type of distribution.<\/p>\n<p><strong>(b)\u00a0 Consider the following record of daily sales of a baker\u2019s top selling loaf of bread over the last 100 days:<\/strong><\/p>\n<table width=\"492\">\n<tbody>\n<tr>\n<td width=\"216\"> <strong>NUMBER SOLD<\/strong><\/td>\n<td width=\"261\"> <strong>NUMBER OF DAYS<\/strong><\/td>\n<\/tr>\n<tr>\n<td width=\"216\"> 0<\/td>\n<td width=\"261\"> 5<\/td>\n<\/tr>\n<tr>\n<td width=\"216\"> 1<\/td>\n<td width=\"261\"> 15<\/td>\n<\/tr>\n<tr>\n<td width=\"216\"> 2<\/td>\n<td width=\"261\"> 20<\/td>\n<\/tr>\n<tr>\n<td width=\"216\"> 3<\/td>\n<td width=\"261\"> 25<\/td>\n<\/tr>\n<tr>\n<td width=\"216\"> 4<\/td>\n<td width=\"261\"> 20<\/td>\n<\/tr>\n<tr>\n<td width=\"216\"> 5<\/td>\n<td width=\"261\"> 15<\/td>\n<\/tr>\n<tr>\n<td width=\"216\"> Total<\/td>\n<td width=\"261\"> 100<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<ul>\n<li>What was the probability of selling 3 or 4 loaves on any one day?<\/li>\n<li>What were the average daily sales over the period?<\/li>\n<li>What was the probability of selling 2 or more loaves on any one day?<\/li>\n<li>What was the probability of selling 4 loaves or less on any one day?<\/li>\n<\/ul>\n<p><strong>(c)\u00a0 A coin is tossed twice. Calculate the probability of each of the following:<\/strong><\/p>\n<ul>\n<li>A head on the first toss.<\/li>\n<li>A tail on the second toss given a head on the first toss<\/li>\n<li>Two tails<\/li>\n<li>A tail on the first toss and a head on the second toss<\/li>\n<li>A tail on the first and a head on the second or a head on the first and a tail on the second<\/li>\n<li>At least one head on the first two tosses<\/li>\n<\/ul>\n<p><strong>(d) The average sales of apples is 5000 with a standard deviation of 600.<\/strong><\/p>\n<ul>\n<li>What is the probability that sales will be greater than 5600 apples?<\/li>\n<li>What is the probability that sales will be less than 5240 apples?<\/li>\n<li>What is the probability that sales will be less than 4400 apples?<\/li>\n<\/ul>\n<p>\u00a0<\/p>\n<p><strong>QUESTION 2 Research Question: <\/strong>Constructing data table and calculating probabilities<\/p>\n<p>Guide to marks: 14 &#8211; 5 for 1, 5 for 2, 4 for 3<\/p>\n<p><strong>The following question involves learning\/employing research skills in searching out data on the Internet, presenting it in a well constructed and informative table, and calculating some probabilities showing calculation methods.<\/strong><\/p>\n<ul>\n<li>Search the Internet for the latest figures you can find on the age and sex of the Australian population.<\/li>\n<li>Then using Excel, prepare a table of population numbers (not percentages) by sex (in the columns) and age (in the rows). Break age into about 5 standard groups, eg, 0-14, 15-24, 25-54, 55-64, 65 and over. Insert total of each row and each column. Paste the table into Word as a picture.\u00a0 Give the table a title, and below the table quote the source of the figures.<\/li>\n<li>Calculate from the table, showing your calculation methods:<\/li>\n<li>The probability that any person selected at random from the population is a male.<\/li>\n<li>The probability that any person selected at random from the population is aged between 55 and 64.<\/li>\n<li>The joint probability that any person selected at random from the population is a female and aged between 15 and 24.<\/li>\n<li>The probability that any person selected at random from the population is 55 or over.<\/li>\n<\/ul>\n<p>\u00a0<\/p>\n<p><strong>QUESTION 3 Statistical Decision Making and Quality Control <\/strong><strong>Show all calculations\/reasoning<\/strong><\/p>\n<p>Guide to marks: 18 marks &#8211; 4 for a(1), 4 for a(2), 2 for b(1), 3 for b(2), 2 for b(3), 3 for b(4)<\/p>\n<p>\u00a0<\/p>\n<p><strong>(a)<\/strong><em>\u00a0 A company wishes to set control limits for monitoring the direct labour time to produce an important product. In the past the mean time has been 20 hours with a standard deviation of 5 hours and is believed to be normally distributed. The company proposes to collect random samples of 64 observations to monitor labour time.<\/em><\/p>\n<ul>\n<li>If management wishes to establish x-bar control limits covering the 95% confidence interval, calculate the appropriate UCL and LCL.<\/li>\n<li>If management wishes to use smaller samples of 16 observations calculate the control limits covering the 95% confidence interval.<\/li>\n<\/ul>\n<p><strong>(b)\u00a0<\/strong><strong>Hypothesis testing<\/strong><\/p>\n<p>Argon Advertising Agency has suggested to Specialty Store that it use mail circulars for the area within a 15 km radius of its store as its major source of advertising. Asked, \u201cWhy not extend the area beyond 15 km?\u201d Argon\u2019s representative answered: \u201cYour average customer lives no more than 9 km from the store, so that 15 km will cover almost all your potential customers.\u201d<\/p>\n<p>The owner of Specialty Store was not convinced of the truth of this answer and decided to test the statement that the average customer lives no more than 9 km from the store. A sample of 50 customers was taken, and a mean travelling distance of 10.22 km was found.<\/p>\n<p><strong>Based on the sample results, test the hypothesis that the average customer lives no more than 9 km from the store at a significance level of\u00a0 <\/strong><strong>= 0.05. Experience shows that\u00a0<\/strong><strong> = 5 km. Your answer should respond to the following four requirements:<\/strong><\/p>\n<ul>\n<li>Show the null and alternative hypotheses.<\/li>\n<li>Calculate the critical value.<\/li>\n<li>Sketch the situation.<\/li>\n<li>Assess the appropriate conclusion.\u00a0<\/li>\n<\/ul>\n<p>\u00a0<\/p>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>QUESTION 1 Probability Show all calculations\/reasoning Guide to marks: 18 marks &#8211; 4 for (a), 5 for (b), 6 for (c), 3 for (d) (a)\u00a0 Define what is meant by a probability distribution. \u00a0\u00a0\u00a0\u00a0\u00a0 What is the difference between a <a href=\"https:\/\/www.benedictsol.com\/blogs\/probability-assignment-essay-paper-paper\/\" class=\"read-more\">Read More &#8230;<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[31,732,1],"tags":[],"class_list":["post-431602","post","type-post","status-publish","format-standard","hentry","category-assignment-help","category-probability-assignment","category-uncategorized"],"_links":{"self":[{"href":"https:\/\/www.benedictsol.com\/blogs\/wp-json\/wp\/v2\/posts\/431602","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.benedictsol.com\/blogs\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.benedictsol.com\/blogs\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.benedictsol.com\/blogs\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.benedictsol.com\/blogs\/wp-json\/wp\/v2\/comments?post=431602"}],"version-history":[{"count":0,"href":"https:\/\/www.benedictsol.com\/blogs\/wp-json\/wp\/v2\/posts\/431602\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.benedictsol.com\/blogs\/wp-json\/wp\/v2\/media?parent=431602"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.benedictsol.com\/blogs\/wp-json\/wp\/v2\/categories?post=431602"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.benedictsol.com\/blogs\/wp-json\/wp\/v2\/tags?post=431602"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}