{"id":156350,"date":"2023-08-30T14:16:33","date_gmt":"2023-08-30T08:46:33","guid":{"rendered":"https:\/\/www.gkseries.com\/blog\/?p=156350"},"modified":"2023-08-30T14:16:36","modified_gmt":"2023-08-30T08:46:36","slug":"the-lengths-of-a-large-stock-of-titanium-rods-follow-a-normal-distribution-with-a-mean-%f0%9d%9c%87-of-440-mm-and-a-standard-deviation-%f0%9d%9c%8e-of-1-mm","status":"publish","type":"post","link":"https:\/\/www.gkseries.com\/blog\/the-lengths-of-a-large-stock-of-titanium-rods-follow-a-normal-distribution-with-a-mean-%f0%9d%9c%87-of-440-mm-and-a-standard-deviation-%f0%9d%9c%8e-of-1-mm\/","title":{"rendered":"The lengths of a large stock of titanium rods follow a normal distribution with a mean (\ud835\udf07) of 440 mm and a standard deviation (\ud835\udf0e) of 1 mm"},"content":{"rendered":"\n

Q. The lengths of a large stock of titanium rods follow a normal distribution with a mean (\ud835\udf07) of 440 mm and a standard deviation (\ud835\udf0e) of 1 mm. What is the percentage of rods whose lengths lie between 438 mm and 441 mm?<\/p>\n\n\n\n

            (A) 81.85%           (B) 68.4%                  (C) 99.75%                  (D) 86.64%<\/p>\n\n\n\n

Ans: 81.85%<\/p>\n\n\n\n

Sol:<\/p>\n\n\n\n

Given, mean, (\u03bc) = 440 mm Standard deviation, \u03c3 = 1 mm<\/p>\n\n\n\n

\"\"<\/figure>\n\n\n\n

lower limit,<\/p>\n\n\n\n

\"\"<\/figure>\n\n\n\n
\"\"<\/figure>\n\n\n\n

Percentage of rods whose lengths lie between 438 mm and 441 mm.
= 0.3413 + (0.5 \u2013 0.0228)
= 0.81854 = 81.854%<\/p>\n","protected":false},"excerpt":{"rendered":"

Q. The lengths of a large stock of titanium rods follow a normal distribution with a mean (\ud835\udf07) of 440 mm and a standard deviation (\ud835\udf0e) of 1 mm. What is the percentage of rods whose lengths lie between 438 mm and 441 mm?             (A) 81.85%           (B) 68.4%                  (C) 99.75%                  (D) 86.64% Ans: 81.85% […]<\/p>\n","protected":false},"author":419,"featured_media":156358,"comment_status":"open","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-4)","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-4)","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-4)","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":[5141],"tags":[5140],"class_list":["post-156350","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-gate","tag-gate-questions"],"_links":{"self":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/156350","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/users\/419"}],"replies":[{"embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/comments?post=156350"}],"version-history":[{"count":1,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/156350\/revisions"}],"predecessor-version":[{"id":156359,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/156350\/revisions\/156359"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/media\/156358"}],"wp:attachment":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/media?parent=156350"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/categories?post=156350"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/tags?post=156350"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}