{"id":125703,"date":"2018-02-20T23:50:30","date_gmt":"2018-02-20T23:50:30","guid":{"rendered":"https:\/\/writemyessayfree.com\/long-haul-trucks-arrive-at-a-vehicle-equipment-inspection-station-according-to-a-poisson-process-with-rate"},"modified":"2017-08-16T06:05:49","modified_gmt":"2017-08-16T06:05:49","slug":"long-haul-trucks-arrive-at-a-vehicle-equipment-inspection-station-according-to-a-poisson-process-with-rate","status":"publish","type":"post","link":"https:\/\/www.benedictsol.com\/blogs\/long-haul-trucks-arrive-at-a-vehicle-equipment-inspection-station-according-to-a-poisson-process-with-rate\/","title":{"rendered":"Long-haul trucks arrive at a vehicle equipment inspection station according to a Poisson process with rate ?"},"content":{"rendered":"<div class=\"the_content_wrapper\">\n<p>Long-haul trucks arrive at a vehicle equipment inspection station according to a Poisson process with rate ? = 24 trucks per hour. The probability that each arriving truck has no equipment violations is p = 0.85. Historically, it has been found that equipment violations are independent from one truck to another. a. What is the probability that exactly n trucks arrive in a random hour of operation? b. Plot the probability that exactly n trucks arrive in a random hour of operation (the function that you just identified). Plot the probability on the ordinate (vertical axis) versus n on the abscissa (horizontal axis) for n = 0, 1, . . . , 48. c. Given that exactly n trucks arrive in an hour, what is the probability that all n have no violations. d. What is the probability that exactly n trucks arrive in a random hour of operation AND that all n have no violations? e. What is the probability of finding no violations during a random hour of operation ?<\/p>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Long-haul trucks arrive at a vehicle equipment inspection station according to a Poisson process with rate ? = 24 trucks per hour. The probability that each arriving truck has no equipment violations is p = 0.85. Historically, it has been <a href=\"https:\/\/www.benedictsol.com\/blogs\/long-haul-trucks-arrive-at-a-vehicle-equipment-inspection-station-according-to-a-poisson-process-with-rate\/\" class=\"read-more\">Read More &#8230;<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[],"tags":[],"class_list":["post-125703","post","type-post","status-publish","format-standard","hentry"],"_links":{"self":[{"href":"https:\/\/www.benedictsol.com\/blogs\/wp-json\/wp\/v2\/posts\/125703","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=125703"}],"version-history":[{"count":0,"href":"https:\/\/www.benedictsol.com\/blogs\/wp-json\/wp\/v2\/posts\/125703\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.benedictsol.com\/blogs\/wp-json\/wp\/v2\/media?parent=125703"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.benedictsol.com\/blogs\/wp-json\/wp\/v2\/categories?post=125703"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.benedictsol.com\/blogs\/wp-json\/wp\/v2\/tags?post=125703"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}