{"id":8178,"date":"2022-11-12T09:20:38","date_gmt":"2022-11-12T09:20:38","guid":{"rendered":"https:\/\/www.greatassignmenthelp.com\/questions\/?p=8178"},"modified":"2023-12-21T10:31:25","modified_gmt":"2023-12-21T10:31:25","slug":"the-amount-of-time-spent-by-a-statistical-consultant-with-a-client-at-their-first-meeting-is-a-random-variable-having-a-normal-distribution","status":"publish","type":"post","link":"https:\/\/www.greatassignmenthelp.com\/questions\/the-amount-of-time-spent-by-a-statistical-consultant-with-a-client-at-their-first-meeting-is-a-random-variable-having-a-normal-distribution\/","title":{"rendered":"The amount of time spent by a statistical consultant with a client at their first meeting is a random variable having a normal distribution"},"content":{"rendered":"<p>The amount of time spent by a statistical consultant with a client at their first meeting is a random variable having a normal distribution with a mean value of 60 min and a standard deviation of 10 min.<\/p>\n<p>a. What is the probability that more than 45 min is spent at the first meeting?<\/p>\n<p>b. What amount of time is exceeded by only 10% of all clients at a first meeting?<\/p>\n<p>c. If the consultant assesses a fixed charge of $10 (for overhead) and then charges $50 per hour, what is the mean revenue from a client\u2019s first meeting?<\/p>\n","protected":false},"excerpt":{"rendered":"<p>The amount of time spent by a statistical consultant with a client at their first meeting is a random variable having a normal distribution with [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[27],"tags":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v23.5 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>The amount of time spent by a statistical consultant with a client at their first meeting is a random variable having a normal distribution<\/title>\n<meta name=\"description\" content=\"The amount of time spent by a statistical consultant with a client at their first meeting is a random variable having a normal distribution with a mean value of 60 min and a standard deviation of 10 min. a. 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What is the probability that more than 45 min is spent at the first meeting? b. What amount of time is exceeded by only 10% of all clients at a first meeting? c. If the consultant assesses a fixed charge of $10 (for overhead) and then charges $50 per hour, what is the mean revenue from a client\u2019s first meeting?\" \/>\n<meta property=\"og:url\" content=\"https:\/\/www.greatassignmenthelp.com\/questions\/the-amount-of-time-spent-by-a-statistical-consultant-with-a-client-at-their-first-meeting-is-a-random-variable-having-a-normal-distribution\/\" \/>\n<meta property=\"og:site_name\" content=\"Questions - Greatassignmenthelp.com\" \/>\n<meta property=\"article:publisher\" content=\"https:\/\/www.facebook.com\/Greatassignmenthelpus\" \/>\n<meta property=\"article:published_time\" content=\"2022-11-12T09:20:38+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2023-12-21T10:31:25+00:00\" \/>\n<meta name=\"author\" content=\"Jay Cooper\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:creator\" content=\"@assignmentgreat\" \/>\n<meta name=\"twitter:site\" content=\"@assignmentgreat\" \/>\n<meta name=\"twitter:label1\" content=\"Written by\" \/>\n\t<meta name=\"twitter:data1\" content=\"Jay Cooper\" \/>\n\t<meta name=\"twitter:label2\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data2\" content=\"1 minute\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"Article\",\"@id\":\"https:\/\/www.greatassignmenthelp.com\/questions\/the-amount-of-time-spent-by-a-statistical-consultant-with-a-client-at-their-first-meeting-is-a-random-variable-having-a-normal-distribution\/#article\",\"isPartOf\":{\"@id\":\"https:\/\/www.greatassignmenthelp.com\/questions\/the-amount-of-time-spent-by-a-statistical-consultant-with-a-client-at-their-first-meeting-is-a-random-variable-having-a-normal-distribution\/\"},\"author\":{\"name\":\"Jay Cooper\",\"@id\":\"https:\/\/www.greatassignmenthelp.com\/questions\/#\/schema\/person\/3a1b105fd8c3db97e016fb16652b9b3e\"},\"headline\":\"The amount of time spent by a statistical consultant with a client at their first meeting is a random variable having a normal distribution\",\"datePublished\":\"2022-11-12T09:20:38+00:00\",\"dateModified\":\"2023-12-21T10:31:25+00:00\",\"mainEntityOfPage\":{\"@id\":\"https:\/\/www.greatassignmenthelp.com\/questions\/the-amount-of-time-spent-by-a-statistical-consultant-with-a-client-at-their-first-meeting-is-a-random-variable-having-a-normal-distribution\/\"},\"wordCount\":118,\"commentCount\":0,\"publisher\":{\"@id\":\"https:\/\/www.greatassignmenthelp.com\/questions\/#organization\"},\"articleSection\":[\"New Category\"],\"inLanguage\":\"en-US\",\"potentialAction\":[{\"@type\":\"CommentAction\",\"name\":\"Comment\",\"target\":[\"https:\/\/www.greatassignmenthelp.com\/questions\/the-amount-of-time-spent-by-a-statistical-consultant-with-a-client-at-their-first-meeting-is-a-random-variable-having-a-normal-distribution\/#respond\"]}]},{\"@type\":\"WebPage\",\"@id\":\"https:\/\/www.greatassignmenthelp.com\/questions\/the-amount-of-time-spent-by-a-statistical-consultant-with-a-client-at-their-first-meeting-is-a-random-variable-having-a-normal-distribution\/\",\"url\":\"https:\/\/www.greatassignmenthelp.com\/questions\/the-amount-of-time-spent-by-a-statistical-consultant-with-a-client-at-their-first-meeting-is-a-random-variable-having-a-normal-distribution\/\",\"name\":\"The amount of time spent by a statistical consultant with a client at their first meeting is a random variable having a normal distribution\",\"isPartOf\":{\"@id\":\"https:\/\/www.greatassignmenthelp.com\/questions\/#website\"},\"datePublished\":\"2022-11-12T09:20:38+00:00\",\"dateModified\":\"2023-12-21T10:31:25+00:00\",\"description\":\"The amount of time spent by a statistical consultant with a client at their first meeting is a random variable having a normal distribution with a mean value of 60 min and a standard deviation of 10 min. a. 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