{"id":6517,"date":"2026-07-09T16:32:26","date_gmt":"2026-07-09T21:32:26","guid":{"rendered":"https:\/\/www.eastcentral.edu\/learning-center\/?page_id=6517"},"modified":"2026-07-09T16:33:26","modified_gmt":"2026-07-09T21:33:26","slug":"normal-distributions","status":"publish","type":"page","link":"https:\/\/www.eastcentral.edu\/learning-center\/normal-distributions\/","title":{"rendered":"Normal Distributions"},"content":{"rendered":"<h3><b><span data-contrast=\"auto\">Normal Probability\u00a0<\/span><\/b><span data-ccp-props=\"{}\">\u00a0<\/span><\/h3>\n<ul>\n<li aria-setsize=\"-1\" data-leveltext=\"\uf0b7\" data-font=\"Symbol\" data-listid=\"1\" data-list-defn-props=\"{&quot;335552541&quot;:1,&quot;335559685&quot;:360,&quot;335559991&quot;:360,&quot;469769226&quot;:&quot;Symbol&quot;,&quot;469769242&quot;:[8226],&quot;469777803&quot;:&quot;left&quot;,&quot;469777804&quot;:&quot;\uf0b7&quot;,&quot;469777815&quot;:&quot;multilevel&quot;}\" data-aria-posinset=\"2\" data-aria-level=\"1\"><span data-contrast=\"auto\">Find<\/span><span data-ccp-props=\"{}\">\u00a0<\/span><\/li>\n<\/ul>\n<ul>\n<li style=\"list-style-type: none;\">\n<ul>\n<li aria-setsize=\"-1\" data-leveltext=\"o\" data-font=\"Courier New\" data-listid=\"1\" data-list-defn-props=\"{&quot;335552541&quot;:1,&quot;335559685&quot;:720,&quot;335559991&quot;:360,&quot;469769226&quot;:&quot;Courier New&quot;,&quot;469769242&quot;:[9675],&quot;469777803&quot;:&quot;left&quot;,&quot;469777804&quot;:&quot;o&quot;,&quot;469777815&quot;:&quot;multilevel&quot;}\" data-aria-posinset=\"1\" data-aria-level=\"2\"><span data-contrast=\"auto\">Area under the curve, probability, percentile, percent<\/span><span data-ccp-props=\"{}\">\u00a0<\/span><\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<ul>\n<li aria-setsize=\"-1\" data-leveltext=\"\uf0b7\" data-font=\"Symbol\" data-listid=\"1\" data-list-defn-props=\"{&quot;335552541&quot;:1,&quot;335559685&quot;:360,&quot;335559991&quot;:360,&quot;469769226&quot;:&quot;Symbol&quot;,&quot;469769242&quot;:[8226],&quot;469777803&quot;:&quot;left&quot;,&quot;469777804&quot;:&quot;\uf0b7&quot;,&quot;469777815&quot;:&quot;multilevel&quot;}\" data-aria-posinset=\"3\" data-aria-level=\"1\"><span data-contrast=\"auto\">Standard Normal Distribution<\/span><span data-ccp-props=\"{}\">\u00a0<\/span><\/li>\n<\/ul>\n<ul>\n<li style=\"list-style-type: none;\">\n<ul>\n<li aria-setsize=\"-1\" data-leveltext=\"o\" data-font=\"Courier New\" data-listid=\"1\" data-list-defn-props=\"{&quot;335552541&quot;:1,&quot;335559685&quot;:720,&quot;335559991&quot;:360,&quot;469769226&quot;:&quot;Courier New&quot;,&quot;469769242&quot;:[9675],&quot;469777803&quot;:&quot;left&quot;,&quot;469777804&quot;:&quot;o&quot;,&quot;469777815&quot;:&quot;multilevel&quot;}\" data-aria-posinset=\"1\" data-aria-level=\"2\"><span data-contrast=\"auto\">Mean = 0\u00a0\u00a0\u00a0\u00a0 SD = 1<\/span><span data-ccp-props=\"{}\">\u00a0<\/span><\/li>\n<\/ul>\n<\/li>\n<\/ul>\n\n\n<table style=\"width:100%; border-collapse:collapse; border:1px solid #000;\">\n\n<tr>\n<th style=\"border:1px solid #000; padding:8px; font-size:18px; width:20%;\">Conditions<\/th>\n<th style=\"border:1px solid #000; padding:8px; font-size:18px; width:17%;\">Probability<\/th>\n<th id=\"calculator-input\"colspan=\"2\" style=\"border:1px solid #000; padding:8px; font-size:18px; width:38%;\">Calculator Input<\/th>\n<th style=\"border:1px solid #000; padding:8px; font-size:18px; width:25%;\">Key Phrases<\/th>\n<\/tr>\n\n<tr>\n\n<td rowspan=\"6\" style=\"border:1px solid #000; padding:8px; vertical-align:top; font-size:14px; line-height:1.5;\">\n\u2022 Continuous Data<br>\n\u2022 Symmetrical<br>\n\u2022 Mean in Middle<br>\n\u2022 Data Separated by Standard Deviation<br>\n\u2022 Area Adds to 1\n<\/td>\n\n<td style=\"border:1px solid #000; padding:8px; vertical-align:top; font-size:16px;\">\n\u2022 <i>P(X &lt; x)<\/i><br>\n\u2022 <i>P(X \u2264 x)<\/i>\n<\/td>\n\n<td rowspan=\"6\" style=\"border:1px solid #000; padding:8px; vertical-align:top; font-size:14px; line-height:1.5;\">\n\u2022 2<sup>nd<\/sup> &gt; Vars<br>\n\u2022 2: normalcdf\n<\/td>\n\n<td style=\"border:1px solid #000; padding:8px; vertical-align:top; font-size:14px;\">\n\u2022 Lower: -1E99<br>\n\u2022 Upper: X<br>\n\u2022 Mean: \u03bc<br>\n\u2022 SD: \u03c3\n<\/td>\n\n<td style=\"border:1px solid #000; padding:8px; vertical-align:top; font-size:14px;\">\n\u2022 Less Than<br>\n\u2022 At Most<br>\n\u2022 Fewer Than<br>\n\u2022 X or Less\n<\/td>\n\n<\/tr>\n\n<tr>\n\n<td style=\"border:1px solid #000; padding:8px; vertical-align:top; font-size:16px;\">\n\u2022 <i>P(X &gt; x)<\/i><br>\n\u2022 <i>P(X \u2265 x)<\/i>\n<\/td>\n\n<td style=\"border:1px solid #000; padding:8px; vertical-align:top; font-size:14px;\">\n\u2022 Lower: X<br>\n\u2022 Upper: 1E99<br>\n\u2022 Mean: \u03bc<br>\n\u2022 SD: \u03c3\n<\/td>\n\n<td style=\"border:1px solid #000; padding:8px; vertical-align:top; font-size:14px;\">\n\u2022 Greater Than<br>\n\u2022 At Least<br>\n\u2022 More Than<br>\n\u2022 X or More\n<\/td>\n\n<\/tr>\n\n<tr>\n\n<td style=\"border:1px solid #000; padding:8px; vertical-align:top; font-size:16px;\">\n\u2022 <i>P(X \u2264 x \u2264 Y)<\/i><br>\n\u2022 <i>P(X &lt; x &lt; Y)<\/i>\n<\/td>\n\n<td style=\"border:1px solid #000; padding:8px; vertical-align:top; font-size:14px;\">\n\u2022 Lower: X<br>\n\u2022 Upper: Y<br>\n\u2022 Mean: \u03bc<br>\n\u2022 SD: \u03c3\n<\/td>\n\n<td style=\"border:1px solid #000; padding:8px; vertical-align:top; font-size:14px;\">\n\u2022 Between\n<\/td>\n\n<\/tr>\n\n<tr>\n\n<td style=\"border:1px solid #000; padding:8px; vertical-align:top; font-size:16px;\">\n\u2022 <i>P(x &lt; X or x &gt; Y)<\/i><br>\n\u2022 <i>P(x \u2264 X or x \u2265 Y)<\/i>\n<\/td>\n\n<td style=\"border:1px solid #000; padding:8px; text-align:center; font-size:16px;\">\n1 \u2212 &#8220;Between&#8221;\n<\/td>\n\n<td style=\"border:1px solid #000; padding:8px; vertical-align:top; font-size:14px;\">\n\u2022 Tails<br>\n\u2022 Less than X or Greater than Y\n<\/td>\n\n<\/tr>\n\n<tr>\n\n<td style=\"border:1px solid #000; padding:8px; text-align:center; font-size:16px;\">\nDiffers by Less\n<\/td>\n\n<td style=\"border:1px solid #000; padding:8px; vertical-align:top; font-size:14px;\">\n\u2022 Lower: \u03bc \u2212 X<br>\n\u2022 Upper: \u03bc + X<br>\n\u2022 Mean: \u03bc<br>\n\u2022 SD: \u03c3\n<\/td>\n\n<td style=\"border:1px solid #000; padding:8px; vertical-align:top; font-size:14px;\">\n\u2022 Differs by Less Than X<br>\n\u2022 Differs by Fewer Than X\n<\/td>\n\n<\/tr>\n\n<tr>\n\n<td style=\"border:1px solid #000; padding:8px; text-align:center; font-size:16px;\">\nDiffers by More\n<\/td>\n\n<td style=\"border:1px solid #000; padding:8px; vertical-align:top; font-size:14px;\">\n\u2022 1 &#8211; &#8220;Differs by Less&#8221;<br>\n\u2022 2 * normalcdf a tail\n<\/td>\n\n\n<td style=\"border:1px solid #000; padding:8px; vertical-align:top; font-size:14px;\">\n\u2022 Differs by Greater Than X <br>\n\u2022 Differs by More Than X<br>\n<\/td>\n<\/tr>\n\n<\/table>\n\n\n<h3><b><span data-contrast=\"auto\">invNorm<\/span><\/b><span data-ccp-props=\"{}\">\u00a0<\/span><\/h3>\n<ul>\n<li aria-setsize=\"-1\" data-leveltext=\"o\" data-font=\"Courier New\" data-listid=\"2\" data-list-defn-props=\"{&quot;335552541&quot;:1,&quot;335559685&quot;:720,&quot;335559991&quot;:360,&quot;469769226&quot;:&quot;Courier New&quot;,&quot;469769242&quot;:[9675],&quot;469777803&quot;:&quot;left&quot;,&quot;469777804&quot;:&quot;o&quot;,&quot;469777815&quot;:&quot;multilevel&quot;}\" data-aria-posinset=\"2\" data-aria-level=\"2\"><span data-contrast=\"auto\">Find<\/span><span data-ccp-props=\"{}\">\u00a0<\/span><\/li>\n<\/ul>\n<ul>\n<li style=\"list-style-type: none;\">\n<ul>\n<li aria-setsize=\"-1\" data-leveltext=\"\uf0b7\" data-font=\"Symbol\" data-listid=\"2\" data-list-defn-props=\"{&quot;335552541&quot;:1,&quot;335559685&quot;:1080,&quot;335559991&quot;:360,&quot;469769226&quot;:&quot;Symbol&quot;,&quot;469769242&quot;:[8226],&quot;469777803&quot;:&quot;left&quot;,&quot;469777804&quot;:&quot;\uf0b7&quot;,&quot;469777815&quot;:&quot;multilevel&quot;}\" data-aria-posinset=\"1\" data-aria-level=\"3\"><span data-contrast=\"auto\">z-score<\/span><span data-ccp-props=\"{}\">\u00a0<\/span><\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<ul>\n<li style=\"list-style-type: none;\">\n<ul>\n<li aria-setsize=\"-1\" data-leveltext=\"\uf0b7\" data-font=\"Symbol\" data-listid=\"2\" data-list-defn-props=\"{&quot;335552541&quot;:1,&quot;335559685&quot;:1080,&quot;335559991&quot;:360,&quot;469769226&quot;:&quot;Symbol&quot;,&quot;469769242&quot;:[8226],&quot;469777803&quot;:&quot;left&quot;,&quot;469777804&quot;:&quot;\uf0b7&quot;,&quot;469777815&quot;:&quot;multilevel&quot;}\" data-aria-posinset=\"2\" data-aria-level=\"3\"><span data-contrast=\"auto\">Measurements\u00a0<\/span><span data-ccp-props=\"{}\">\u00a0<\/span><\/li>\n<\/ul>\n<\/li>\n<\/ul>\n\n\n<table style=\"width:100%; border-collapse:collapse; border:1px solid #000;\">\n\n<tr>\n\n<th rowspan=\"2\" style=\"border:1px solid #000; padding:8px; font-size:18px; width:20%;\">\nConditions\n<\/th>\n\n<th rowspan=\"2\" style=\"border:1px solid #000; padding:8px; font-size:18px; width:10%;\">\nDirection\n<\/th>\n\n<th colspan=\"3\" style=\"border:1px solid #000; padding:8px; font-size:18px; width:45%;\">\nCalculator Input\n<\/th>\n\n<th rowspan=\"2\" style=\"border:1px solid #000; padding:8px; font-size:18px; width:25%;\">\nKey Phrases\n<\/th>\n\n<\/tr>\n\n<tr>\n\n<th style=\"border:1px solid #000; padding:8px; width:15%;\"><\/th>\n\n<th style=\"border:1px solid #000; padding:8px; font-size:16px; width:15%;\">\nTI-83\n<\/th>\n\n<th style=\"border:1px solid #000; padding:8px; font-size:16px; width:15%;\">\nTI-84\n<\/th>\n\n<\/tr>\n\n<tr>\n\n<td rowspan=\"4\" style=\"border:1px solid #000; padding:8px; vertical-align:top; font-size:14px; line-height:1.5;\">\n\u2022 Continuous Data<br>\n\u2022 Symmetrical<br>\n\u2022 Mean in Middle<br>\n\u2022 Data Separated by Standard Deviation<br>\n\u2022 Area Adds to 1\n<\/td>\n\n<td style=\"border:1px solid #000; padding:8px; text-align:center; font-size:16px;\">\nLeft\n<\/td>\n\n<td rowspan=\"4\" style=\"border:1px solid #000; padding:8px; vertical-align:top; font-size:14px;\">\n\u2022 2<sup>nd<\/sup> &gt; Vars<br>\n\u2022 3: invNorm\n<\/td>\n\n<td style=\"border:1px solid #000; padding:8px; text-align:center; font-size:16px;\">\np, \u03bc, \u03c3\n<\/td>\n\n<td style=\"border:1px solid #000; padding:8px; font-size:14px;\">\n\u2022 Area: p<br>\n\u2022 Mean: \u03bc<br>\n\u2022 SD: \u03c3<br>\n\u2022 Left\n<\/td>\n\n<td style=\"border:1px solid #000; padding:8px; font-size:14px;\">\n\u2022 To the Left<br>\n\u2022 Bottom %<br>\n\u2022 Percentile<br>\n\u2022 Less Than\n<\/td>\n\n<\/tr>\n\n<tr>\n\n<td style=\"border:1px solid #000; padding:8px; text-align:center; font-size:16px;\">\nRight\n<\/td>\n\n<td style=\"border:1px solid #000; padding:8px; text-align:center; font-size:16px;\">\n(1-p), \u03bc, \u03c3\n<\/td>\n\n<td style=\"border:1px solid #000; padding:8px; font-size:14px;\">\n\u2022 Area: p<br>\n\u2022 Mean: \u03bc<br>\n\u2022 SD: \u03c3<br>\n\u2022 Right\n<\/td>\n\n<td style=\"border:1px solid #000; padding:8px; font-size:14px;\">\n\u2022 To the Right<br>\n\u2022 Top %<br>\n\u2022 More Than\n<\/td>\n\n<\/tr>\n\n<tr>\n\n<td style=\"border:1px solid #000; padding:8px; text-align:center; font-size:16px;\">\nBetween <br>-z and z\n<\/td>\n\n<td style=\"border:1px solid #000; padding:8px; font-size:14px;\">\n\n\u2022\n\n<span style=\"display:inline-block;text-align:center;vertical-align:middle;\">\n<span style=\"display:block;border-bottom:1px solid #000;padding:0 6px;\">\n1-p\n<\/span>\n<span style=\"display:block;\">\n2\n<\/span>\n<\/span>\n\n, 0,1 <br> Gives -z\n\n<br>\n\n\u2022 z = -z &times; -1\n\n<\/td>\n\n<td style=\"border:1px solid #000; padding:8px; font-size:14px;\">\n\u2022 Area: p<br>\n\u2022 Mean: 0<br>\n\u2022 SD: 1<br>\n\u2022 Center\n<\/td>\n\n<td style=\"border:1px solid #000; padding:8px; font-size:14px;\">\n\u2022 Between<br>\n\u2022 This is ONLY z-scores\n<\/td>\n\n<\/tr>\n\n<tr>\n\n<td style=\"border:1px solid #000; padding:8px; text-align:center; font-size:16px;\">\nLeft -z and Right z\n<\/td>\n\n<td style=\"border:1px solid #000; padding:8px; font-size:14px;\">\n\n\u2022\n\n<span style=\"display:inline-block;text-align:center;vertical-align:middle;\">\n<span style=\"display:block;border-bottom:1px solid #000;padding:0 6px;\">\np\n<\/span>\n<span style=\"display:block;\">\n2\n<\/span>\n<\/span>\n\n, 0,1 <br> Gives -z\n\n<br>\n\n\u2022 z = -z &times; -1\n\n<\/td>\n\n<td style=\"border:1px solid #000; padding:8px; font-size:14px;\">\n\u2022 Area: 1-p<br>\n\u2022 Mean: 0<br>\n\u2022 SD: 1<br>\n\u2022 Center\n<\/td>\n\n<td style=\"border:1px solid #000; padding:8px; font-size:14px;\">\n\u2022 Left of -z Plus Right of z<br>\n\u2022 This is ONLY z-scores\n<\/td>\n\n<\/tr>\n\n<\/table>\n\n\n<p>\u2022 Approximating a Binomial Distribution<\/p>\n<p style=\"padding-left: 40px;\">o MUST follow the binomial distribution rules:<\/p>\n<p style=\"padding-left: 80px;\">\u25aa Fixed number of trials: n <br \/>\u25aa Independent trials <br \/>\u25aa Two outcomes: success and failure <br \/>\u25aa Probability for success is the same every time: p <br \/>\u25aa \ud835\udc5b\ud835\udc5d \u2265 10\u00a0\u00a0\u00a0\u00a0 \ud835\udc5b(1\u2212\ud835\udc5d)\u226510<\/p>\n<p style=\"padding-left: 40px;\">o \ud835\udf07= \ud835\udc5b\ud835\udc5d <br \/>o \u03c3 = <span style=\"white-space: nowrap;\"> <span style=\"font-size: 28px; vertical-align: bottom;\">\u221a<\/span> <span style=\"display: inline-block; border-top: 1px solid #000; padding-top: 2px;\"> np(1 \u2212 p) <\/span> <\/span><br \/>o MUST use continuity corrections<\/p>\n<p style=\"padding-left: 80px;\">\u25aa After the continuity correction, this is the same as normalcdf<\/p>\n\n\n<table style=\"width:100%; border-collapse:collapse; border:1px solid #000;\">\n\n<tr>\n    <th colspan=\"4\" style=\"border:1px solid #000; padding:10px; font-size:20px;\">\n        Examples of Continuity Correction\n    <\/th>\n<\/tr>\n\n<tr>\n    <th style=\"border:1px solid #000; padding:8px; width:22%;\">Statement<\/th>\n    <th style=\"border:1px solid #000; padding:8px; width:8%;\">Symbol<\/th>\n    <th style=\"border:1px solid #000; padding:8px; width:48%;\">Graph<\/th>\n    <th style=\"border:1px solid #000; padding:8px; width:22%;\">Area<\/th>\n<\/tr>\n\n<tr>\n    <td style=\"border:1px solid #000; padding:8px; vertical-align:top;\">\n        \u2022 At least 45<br>\n        \u2022 45 or more<br>\n        \u2022 No fewer than 45\n    <\/td>\n\n    <td style=\"border:1px solid #000; padding:8px; text-align:center; vertical-align:top;\">\n        \u226545\n    <\/td>\n\n    <td style=\"border:1px solid #000; padding:8px; text-align:center;\">\n        <img decoding=\"async\" src=\"https:\/\/www.eastcentral.edu\/learning-center\/wp-content\/uploads\/sites\/27\/2026\/07\/greater-than-equal.png\"\"style=\"max-width:100%; height:auto;\">\n    <\/td>\n\n    <td style=\"border:1px solid #000; padding:8px; text-align:center; vertical-align:top;\">\n        Right of 44.5\n    <\/td>\n<\/tr>\n\n<tr>\n    <td style=\"border:1px solid #000; padding:8px; vertical-align:top;\">\n        \u2022 More than 45<br>\n        \u2022 Greater than 45\n    <\/td>\n\n    <td style=\"border:1px solid #000; padding:8px; text-align:center; vertical-align:top;\">\n        &gt;45\n    <\/td>\n\n    <td style=\"border:1px solid #000; padding:8px; text-align:center;\">\n        <img decoding=\"async\" src=\"https:\/\/www.eastcentral.edu\/learning-center\/wp-content\/uploads\/sites\/27\/2026\/07\/greater-than.png\"\n    <\/td>\n\n    <td style=\"border:1px solid #000; padding:8px; text-align:center; vertical-align:top;\">\n        Right of 45.5\n    <\/td>\n<\/tr>\n\n<tr>\n    <td style=\"border:1px solid #000; padding:8px; vertical-align:top;\">\n        \u2022 At most 45<br>\n        \u2022 No more than 45\n    <\/td>\n\n    <td style=\"border:1px solid #000; padding:8px; text-align:center; vertical-align:top;\">\n        \u226445\n    <\/td>\n\n    <td style=\"border:1px solid #000; padding:8px; text-align:center;\">\n        <img decoding=\"async\" src=\"https:\/\/www.eastcentral.edu\/learning-center\/wp-content\/uploads\/sites\/27\/2026\/07\/less-than-equal.png\"\"style=\"max-width:100%; height:auto;\">\n    <\/td>\n\n    <td style=\"border:1px solid #000; padding:8px; text-align:center; vertical-align:top;\">\n        Left of 45.5\n    <\/td>\n<\/tr>\n\n<tr>\n    <td style=\"border:1px solid #000; padding:8px; vertical-align:top;\">\n        \u2022 Less than 45<br>\n        \u2022 Fewer than 45\n    <\/td>\n\n    <td style=\"border:1px solid #000; padding:8px; text-align:center; vertical-align:top;\">\n        &lt;45\n    <\/td>\n\n    <td style=\"border:1px solid #000; padding:8px; text-align:center;\">\n        <img decoding=\"async\" src=\"https:\/\/www.eastcentral.edu\/learning-center\/wp-content\/uploads\/sites\/27\/2026\/07\/less-than-equal.png\"\"style=\"max-width:100%; height:auto;\">\n    <\/td>\n\n    <td style=\"border:1px solid #000; padding:8px; text-align:center; vertical-align:top;\">\n        Left of 44.5\n    <\/td>\n<\/tr>\n\n<tr>\n    <td style=\"border:1px solid #000; padding:8px; vertical-align:top;\">\n        \u2022 Exactly 45<br>\n        \u2022 Equal to 45\n    <\/td>\n\n    <td style=\"border:1px solid #000; padding:8px; text-align:center; vertical-align:top;\">\n        =45\n    <\/td>\n\n    <td style=\"border:1px solid #000; padding:8px; text-align:center;\">\n        <img decoding=\"async\" src=\"https:\/\/www.eastcentral.edu\/learning-center\/wp-content\/uploads\/sites\/27\/2026\/07\/equal.png\"\"style=\"max-width:100%; height:auto;\">\n    <\/td>\n\n    <td style=\"border:1px solid #000; padding:8px; text-align:center; vertical-align:top;\">\n        Between 44.5 and 45.5\n    <\/td>\n<\/tr>\n\n<\/table>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"><a href=\"https:\/\/www.eastcentral.edu\/learning-center\/wp-content\/uploads\/sites\/27\/2025\/05\/image.jpeg\"><img loading=\"lazy\" decoding=\"async\" width=\"602\" height=\"455\" src=\"https:\/\/www.eastcentral.edu\/learning-center\/wp-content\/uploads\/sites\/27\/2025\/05\/image.jpeg\" alt=\"91ԭƬ Learning Center Logo\" class=\"wp-image-4893\" style=\"width:200px\" srcset=\"https:\/\/www.eastcentral.edu\/learning-center\/wp-content\/uploads\/sites\/27\/2025\/05\/image.jpeg 602w, https:\/\/www.eastcentral.edu\/learning-center\/wp-content\/uploads\/sites\/27\/2025\/05\/image-300x227.jpeg 300w\" sizes=\"auto, (max-width: 602px) 100vw, 602px\" \/><\/a><figcaption class=\"wp-element-caption\">For more help, please contact The Learning Center<\/figcaption><\/figure>\n<\/div>","protected":false},"excerpt":{"rendered":"<p>Normal Probability\u00a0\u00a0 Find\u00a0 Area under the curve, probability, percentile, percent\u00a0 Standard Normal Distribution\u00a0 Mean = 0\u00a0\u00a0\u00a0\u00a0 SD = 1\u00a0 Conditions Probability Calculator Input Key Phrases \u2022 Continuous Data \u2022 Symmetrical \u2022 Mean in Middle \u2022 Data Separated by Standard Deviation \u2022 Area Adds to 1 \u2022 P(X &lt; x) \u2022 P(X \u2264 x) \u2022 2nd [&hellip;]<\/p>\n","protected":false},"author":12,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_eb_attr":"","footnotes":""},"yst_prominent_words":[],"class_list":["post-6517","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/www.eastcentral.edu\/learning-center\/wp-json\/wp\/v2\/pages\/6517","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.eastcentral.edu\/learning-center\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/www.eastcentral.edu\/learning-center\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/www.eastcentral.edu\/learning-center\/wp-json\/wp\/v2\/users\/12"}],"replies":[{"embeddable":true,"href":"https:\/\/www.eastcentral.edu\/learning-center\/wp-json\/wp\/v2\/comments?post=6517"}],"version-history":[{"count":15,"href":"https:\/\/www.eastcentral.edu\/learning-center\/wp-json\/wp\/v2\/pages\/6517\/revisions"}],"predecessor-version":[{"id":6543,"href":"https:\/\/www.eastcentral.edu\/learning-center\/wp-json\/wp\/v2\/pages\/6517\/revisions\/6543"}],"wp:attachment":[{"href":"https:\/\/www.eastcentral.edu\/learning-center\/wp-json\/wp\/v2\/media?parent=6517"}],"wp:term":[{"taxonomy":"yst_prominent_words","embeddable":true,"href":"https:\/\/www.eastcentral.edu\/learning-center\/wp-json\/wp\/v2\/yst_prominent_words?post=6517"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}