{"id":908855,"date":"2021-11-22T08:30:00","date_gmt":"2021-11-22T11:30:00","guid":{"rendered":"https:\/\/www.estrategiaconcursos.com.br\/blog\/?p=908855"},"modified":"2021-11-19T15:42:03","modified_gmt":"2021-11-19T18:42:03","slug":"resumo-das-variaveis-discretas-para-iss-bh-estatistica","status":"publish","type":"post","link":"https:\/\/www.estrategiaconcursos.com.br\/blog\/resumo-das-variaveis-discretas-para-iss-bh-estatistica\/","title":{"rendered":"Resumo das Vari\u00e1veis Discretas para ISS-BH \u2013 Estat\u00edstica"},"content":{"rendered":"\n<p>Ol\u00e1, pessoal. Tudo certo? No artigo de hoje veremos o Resumo das Vari\u00e1veis Discretas para ISS-BH.<\/p>\n\n\n\n<p>Trata-se de um tema relativamente bem cobrado em prova, principalmente a parte da covari\u00e2ncia.<\/p>\n\n\n\n<p>Sem mais delongas, vamos l\u00e1.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">Conceitos Gerais<\/h2>\n\n\n\n<p>Iniciemos o Resumo das Vari\u00e1veis Discretas para ISS-BH pelos conceitos gerais.<\/p>\n\n\n\n<p><strong><span class=\"has-inline-color has-vivid-cyan-blue-color\">Estat\u00edstica Inferencial:<\/span><\/strong> trata-se do <strong>estudo<\/strong> de parte do todo (<strong>amostra<\/strong>) para <strong>tirar conclus\u00f5es<\/strong> (infer\u00eancia) desse todo (<strong>popula\u00e7\u00e3o<\/strong>).<\/p>\n\n\n\n<p>Assim, a caracter\u00edstica num\u00e9rica da popula\u00e7\u00e3o chamamos de <strong><span class=\"has-inline-color has-vivid-green-cyan-color\">par\u00e2metro populacional<\/span><\/strong> enquanto a medida da amostra \u00e9 o <strong><span class=\"has-inline-color has-vivid-green-cyan-color\">par\u00e2metro de estimativa<\/span><\/strong>.<\/p>\n\n\n\n<p>Como a <strong>infer\u00eancia<\/strong> n\u00e3o \u00e9 exata, afinal depende da amostra, dizemos que o resultado s\u00e3o vari\u00e1veis aleat\u00f3rias.<\/p>\n\n\n\n<p><strong><span class=\"has-inline-color has-vivid-green-cyan-color\">Vari\u00e1veis Aleat\u00f3rias:<\/span><\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\"><li><span class=\"has-inline-color has-vivid-purple-color\"><strong>Discretas<\/strong>:<\/span> <strong>enumer\u00e1vel<\/strong> (finito ou n\u00e3o), poss\u00edvel atribuir probabilidade a um resultado espec\u00edfico.<\/li><li><strong><span class=\"has-inline-color has-vivid-purple-color\">Cont\u00ednuas<\/span><\/strong>: valor dentro de um <strong>intervalo<\/strong> (n\u00e3o enumer\u00e1vel), logo n\u00e3o se atribui a probabilidade para um resultado espec\u00edfico.<\/li><\/ul>\n\n\n\n<h2 class=\"wp-block-heading\">Vari\u00e1veis Aleat\u00f3rias Discretas<\/h2>\n\n\n\n<p>Dizemos que a Varia\u00e7\u00e3o Aleat\u00f3ria Discreta pode atribuir probabilidade a um resultado em espec\u00edfico, assim vamos a fun\u00e7\u00e3o que possibilita esse feito.<\/p>\n\n\n\n<p><strong><span class=\"has-inline-color has-vivid-cyan-blue-color\">Fun\u00e7\u00e3o de probabilidade:<\/span><\/strong> atribui probabilidade a um resultado de uma vari\u00e1vel aleat\u00f3ria.<\/p>\n\n\n\n<p><strong><span class=\"has-inline-color has-vivid-green-cyan-color\">Condi\u00e7\u00f5es:<\/span><\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\"><li>N\u00e3o haver valores negativos;<\/li><li>Somat\u00f3rio de todos os resultados poss\u00edveis ser igual a 1.<\/li><\/ul>\n\n\n\n<p><strong><span class=\"has-inline-color has-vivid-green-cyan-color\">Exemplo<\/span>:<\/strong> (2014 \u2013 Funda\u00e7\u00e3o Jo\u00e3o Pinheiro\/MG) A f\u00f3rmula P(x) = 3k\/x representa a distribui\u00e7\u00e3o de probabilidade de uma vari\u00e1vel aleat\u00f3ria, para x = 1,7,9. Portanto P(1 \u2264 x \u2264 7) \u00e9 igual a<\/p>\n\n\n\n<p>Lembre-se que a somat\u00f3ria deve ser igual a 1 (100%), assim:<\/p>\n\n\n\n<p>P( x = 1) + P( x = 7) + P( x = 9) = 1<\/p>\n\n\n\n<p>Substituindo o valor de x<\/p>\n\n\n\n<p>3k\/1 + 3k\/7 + 3k\/9 = 1<\/p>\n\n\n\n<p>Fazendo MMC.<\/p>\n\n\n\n<p>237k\/63 = 1<\/p>\n\n\n\n<p>Logo,<\/p>\n\n\n\n<p>K = 63\/237<\/p>\n\n\n\n<p>E considerando que,<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"564\" height=\"56\" src=\"https:\/\/dhg1h5j42swfq.cloudfront.net\/2021\/11\/14180811\/image-290.png\" alt=\"\" class=\"wp-image-908856\" srcset=\"https:\/\/dhg1h5j42swfq.cloudfront.net\/2021\/11\/14180811\/image-290.png 564w, https:\/\/dhg1h5j42swfq.cloudfront.net\/2021\/11\/14180811\/image-290-300x30.png 300w\" sizes=\"auto, (max-width: 564px) 100vw, 564px\" \/><figcaption>fun\u00e7\u00e3o probabilidade<\/figcaption><\/figure><\/div>\n\n\n\n<p>Logo,<\/p>\n\n\n\n<p>P = 3\/1 (63\/237) + 3\/7 (63\/237)<\/p>\n\n\n\n<p>P = 216\/237<\/p>\n\n\n\n<p>Tamb\u00e9m \u00e9 importante conhecer a distribui\u00e7\u00e3o de probabilidade.<\/p>\n\n\n\n<p><strong><span class=\"has-inline-color has-vivid-cyan-blue-color\">Distribui\u00e7\u00e3o <\/span><\/strong><span class=\"has-inline-color has-vivid-cyan-blue-color\"><strong>de Probabilidade<\/strong>:<\/span> conjunto dos pares vari\u00e1vel e sua probabilidade.<\/p>\n\n\n\n<p>Se duas vari\u00e1veis t\u00eam a mesma distribui\u00e7\u00e3o de probabilidade, dizemos que elas s\u00e3o <strong><span class=\"has-inline-color has-vivid-green-cyan-color\">independentes e identicamente distribu\u00eddas<\/span><\/strong> (i.i.d ou IID)<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Esperan\u00e7a<\/h3>\n\n\n\n<p>Dando continuidade ao Resumo das Vari\u00e1veis discretas para ISS-BH, agora vamos ver a Esperan\u00e7a matem\u00e1tica para a distribui\u00e7\u00e3o aleat\u00f3ria discreta. &nbsp;<strong><\/strong><\/p>\n\n\n\n<p><strong><span class=\"has-inline-color has-vivid-cyan-blue-color\">Esperan\u00e7a Matem\u00e1tica<\/span><\/strong> (expect\u00e2ncia, valor esperado ou m\u00e9dia)<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"321\" height=\"45\" src=\"https:\/\/dhg1h5j42swfq.cloudfront.net\/2021\/11\/14180822\/image-291.png\" alt=\"\" class=\"wp-image-908857\" srcset=\"https:\/\/dhg1h5j42swfq.cloudfront.net\/2021\/11\/14180822\/image-291.png 321w, https:\/\/dhg1h5j42swfq.cloudfront.net\/2021\/11\/14180822\/image-291-300x42.png 300w\" sizes=\"auto, (max-width: 321px) 100vw, 321px\" \/><figcaption>Esperan\u00e7a Matem\u00e1tica<\/figcaption><\/figure><\/div>\n\n\n\n<p><strong><span class=\"has-inline-color has-vivid-green-cyan-color\">Exemplo<\/span><\/strong><span class=\"has-inline-color has-vivid-green-cyan-color\"><strong>:<\/strong> <\/span>(2017 \u2013 Secretaria de Sa\u00fade\/RO) Uma vari\u00e1vel aleat\u00f3ria discreta X tem valores poss\u00edveis 0, 1, 2 e 3 com probabilidades respectivamente iguais a 0,2, 0,4, 0,3 e 0,1. A m\u00e9dia de X \u00e9 igual a<\/p>\n\n\n\n<p>M\u00e9dia = (0 x 0,2) + (1 x 0,4) + (2 x 0,3) + (3 x 0,1)<\/p>\n\n\n\n<p>M\u00e9dia = 0 + 0,4 + 0,6 + 0,3<\/p>\n\n\n\n<p>M\u00e9dia = 1,3<\/p>\n\n\n\n<p>Assim, ficamos com as propriedades da esperan\u00e7a.<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"567\" height=\"103\" src=\"https:\/\/dhg1h5j42swfq.cloudfront.net\/2021\/11\/14180831\/image-292.png\" alt=\"\" class=\"wp-image-908858\" srcset=\"https:\/\/dhg1h5j42swfq.cloudfront.net\/2021\/11\/14180831\/image-292.png 567w, https:\/\/dhg1h5j42swfq.cloudfront.net\/2021\/11\/14180831\/image-292-300x54.png 300w\" sizes=\"auto, (max-width: 567px) 100vw, 567px\" \/><figcaption>  propriedades da esperan\u00e7a <\/figcaption><\/figure><\/div>\n\n\n\n<h3 class=\"wp-block-heading\">Moda e Mediana<\/h3>\n\n\n\n<p>Vamos continuar o Resumo das Vari\u00e1veis discretas para ISS-BH falando sobre a Moda e Mediana.<\/p>\n\n\n\n<p>Em termos gerais a <span class=\"has-inline-color has-vivid-cyan-blue-color\"><strong>moda<\/strong> <\/span>\u00e9 o valor de maior frequ\u00eancia, como estamos trabalhando com a vari\u00e1vel aleat\u00f3ria discreta, ser\u00e1 a <strong>mais prov\u00e1vel<\/strong> (com maior probabilidade)<\/p>\n\n\n\n<p>Entretanto n\u00e3o confunda, pois a moda \u00e9 um valor da vari\u00e1vel aleat\u00f3ria e n\u00e3o a sua probabilidade.<\/p>\n\n\n\n<p>J\u00e1 a <span class=\"has-inline-color has-vivid-cyan-blue-color\"><strong>mediana<\/strong> <\/span>ser\u00e1 o valor que separa a distribui\u00e7\u00e3o pela metade, em outros termos, o valor de <strong>x para o qual a fun\u00e7\u00e3o de distribui\u00e7\u00e3o acumulada seja 50%.<\/strong><\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Vari\u00e2ncia<\/h3>\n\n\n\n<p>Agora vamos ver a f\u00f3rmula para o c\u00e1lculo da <strong>Vari\u00e2ncia<\/strong>.<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"416\" height=\"49\" src=\"https:\/\/dhg1h5j42swfq.cloudfront.net\/2021\/11\/14180850\/image-293.png\" alt=\"\" class=\"wp-image-908859\" srcset=\"https:\/\/dhg1h5j42swfq.cloudfront.net\/2021\/11\/14180850\/image-293.png 416w, https:\/\/dhg1h5j42swfq.cloudfront.net\/2021\/11\/14180850\/image-293-300x35.png 300w\" sizes=\"auto, (max-width: 416px) 100vw, 416px\" \/><figcaption>1\u00aa F\u00f3rmula &#8211; Vari\u00e2ncia<\/figcaption><\/figure><\/div>\n\n\n\n<p>Lembre-se tamb\u00e9m da \u201cm\u00e9dia dos quadrados menos m\u00e9dia ao quadrado\u201d<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"247\" height=\"46\" src=\"https:\/\/dhg1h5j42swfq.cloudfront.net\/2021\/11\/14180857\/image-294.png\" alt=\"\" class=\"wp-image-908860\"\/><figcaption> 2\u00aa F\u00f3rmula &#8211; Vari\u00e2ncia <\/figcaption><\/figure><\/div>\n\n\n\n<p><span class=\"has-inline-color has-vivid-green-cyan-color\"><strong>Exemplo:<\/strong> <\/span>(2017 \u2013 DPE\/PR) Seja X uma vari\u00e1vel aleat\u00f3ria discreta, sua esperan\u00e7a e vari\u00e2ncia s\u00e3o respectivamente:<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"240\" height=\"139\" src=\"https:\/\/dhg1h5j42swfq.cloudfront.net\/2021\/11\/14180902\/image-295.png\" alt=\"\" class=\"wp-image-908864\"\/><figcaption>Exemplo &#8211; Vari\u00e2ncia<\/figcaption><\/figure><\/div>\n\n\n\n<p>Esperan\u00e7a = (1 x 0,42) + (2 x 0,25) + (3 x 0,18) + (4 x 0,08) + (5 x 0,07)<\/p>\n\n\n\n<p>Esperan\u00e7a = 0,42 + 0,5 + 0,54 + 0,32 + 0,35<\/p>\n\n\n\n<p>Esperan\u00e7a = 2,13<\/p>\n\n\n\n<p>Agora vamos calcular a vari\u00e2ncia pelas duas formas.<\/p>\n\n\n\n<ul class=\"wp-block-list\"><li><strong><span class=\"has-inline-color has-vivid-purple-color\">Primeira f\u00f3rmula:<\/span><\/strong><\/li><\/ul>\n\n\n\n<p>VAR = (1 &#8211; 2,13)\u00b2 x 0,42 + (2 &#8211; 2,13)\u00b2 x 0,25 + (3 &#8211; 2,13)\u00b2 x 0,18 + (4 &#8211; 2,13)\u00b2 x 0,08 + (5 &#8211; 2,13)\u00b2 x 0,07<\/p>\n\n\n\n<p>VAR = [(-1,13)\u00b2 x 0,42] + [(0,13)\u00b2 x 0,25] + [(0,87)\u00b2 x 0,18] + [(1,87)\u00b2 x 0,08] + [(2,87)\u00b2 x 0,07]<\/p>\n\n\n\n<p>VAR = 0,536298 + 0,004225 + 0,136242 + 0,279752 + 0,576583<\/p>\n\n\n\n<p>VAR = 1,5331<\/p>\n\n\n\n<ul class=\"wp-block-list\"><li><strong><span class=\"has-inline-color has-vivid-purple-color\">Segunda f\u00f3rmula:<\/span><\/strong><\/li><\/ul>\n\n\n\n<p>E(x\u00b2) = (1\u00b2 x 0,42) + (2\u00b2 x 0,25) + (3\u00b2 x 0,18) + (4\u00b2 x 0,08) + (5\u00b2 x 0,07)<\/p>\n\n\n\n<p>E(x\u00b2) = 0,42 + 1 + 1,62 + 1,28 + 1,75<\/p>\n\n\n\n<p>E(x\u00b2) = 6,07<\/p>\n\n\n\n<p>VAR = 6,07 \u2013 2,13\u00b2<\/p>\n\n\n\n<p>VAR = 1,5331<\/p>\n\n\n\n<p>Ainda que n\u00e3o exista uma regra \u201cabsoluta\u201d, a segunda forma de calcular costuma ser mais f\u00e1cil\/pr\u00e1tica.<\/p>\n\n\n\n<p>Al\u00e9m disso, vejamos as <strong><span class=\"has-inline-color has-vivid-green-cyan-color\">Propriedades da Vari\u00e2ncia<\/span><\/strong>.<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"567\" height=\"93\" src=\"https:\/\/dhg1h5j42swfq.cloudfront.net\/2021\/11\/14180911\/image-296.png\" alt=\"Vari\u00e1veis Discretas para ISS-BH\" class=\"wp-image-908865\" srcset=\"https:\/\/dhg1h5j42swfq.cloudfront.net\/2021\/11\/14180911\/image-296.png 567w, https:\/\/dhg1h5j42swfq.cloudfront.net\/2021\/11\/14180911\/image-296-300x49.png 300w\" sizes=\"auto, (max-width: 567px) 100vw, 567px\" \/><figcaption>Propriedades da Vari\u00e2ncia<\/figcaption><\/figure><\/div>\n\n\n\n<h2 class=\"wp-block-heading\">Covari\u00e2ncia e Correla\u00e7\u00e3o<\/h2>\n\n\n\n<p>A Covari\u00e2ncia e a Correla\u00e7\u00e3o est\u00e3o relacionadas \u00e0 <strong>for\u00e7a da rela\u00e7\u00e3o<\/strong> entre duas vari\u00e1veis.<\/p>\n\n\n\n<p><strong><span class=\"has-inline-color has-vivid-cyan-blue-color\">Covari\u00e2ncia<\/span><\/strong><\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"489\" height=\"43\" src=\"https:\/\/dhg1h5j42swfq.cloudfront.net\/2021\/11\/14180919\/image-297.png\" alt=\"Vari\u00e1veis Discretas para ISS-BH\" class=\"wp-image-908866\" srcset=\"https:\/\/dhg1h5j42swfq.cloudfront.net\/2021\/11\/14180919\/image-297.png 489w, https:\/\/dhg1h5j42swfq.cloudfront.net\/2021\/11\/14180919\/image-297-300x26.png 300w\" sizes=\"auto, (max-width: 489px) 100vw, 489px\" \/><figcaption>Covari\u00e2ncia<\/figcaption><\/figure><\/div>\n\n\n\n<p>Trata-se da m\u00e9dia dos produtos menos o produto das m\u00e9dias.<\/p>\n\n\n\n<p>Para que saibamos a \u201cfor\u00e7a\u201d dessa rela\u00e7\u00e3o, devemos encontrar um coeficiente.<\/p>\n\n\n\n<p><strong><span class=\"has-inline-color has-vivid-green-cyan-color\">Coeficiente de correla\u00e7\u00e3o linear<\/span><\/strong><\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"307\" height=\"77\" src=\"https:\/\/dhg1h5j42swfq.cloudfront.net\/2021\/11\/14180926\/image-298.png\" alt=\"Vari\u00e1veis Discretas para ISS-BH\" class=\"wp-image-908867\" srcset=\"https:\/\/dhg1h5j42swfq.cloudfront.net\/2021\/11\/14180926\/image-298.png 307w, https:\/\/dhg1h5j42swfq.cloudfront.net\/2021\/11\/14180926\/image-298-300x75.png 300w\" sizes=\"auto, (max-width: 307px) 100vw, 307px\" \/><figcaption>Coeficiente de correla\u00e7\u00e3o linear<\/figcaption><\/figure><\/div>\n\n\n\n<p>Trata-se da covari\u00e2ncia entre as duas vari\u00e1veis, dividido pelo desvio padr\u00e3o.<\/p>\n\n\n\n<p>Esse valor poder\u00e1 variar de -1 at\u00e9 +1. Temos que:<\/p>\n\n\n\n<ul class=\"wp-block-list\"><li>p = -1 (correla\u00e7\u00e3o linear perfeita negativa)<\/li><li>p &lt; 0 (correla\u00e7\u00e3o linear negativa)<\/li><li>p &gt; 0 (correla\u00e7\u00e3o linear positiva).<\/li><li>p = 1 (correla\u00e7\u00e3o linear perfeita positiva).<\/li><\/ul>\n\n\n\n<p><span class=\"has-inline-color has-vivid-red-color\"><strong>Aten\u00e7\u00e3o<\/strong>:<\/span> o coeficiente de correla\u00e7\u00e3o linear de vari\u00e1veis (p) independentes \u00e9 igual a 0, entretanto n\u00e3o significa que necessariamente que se p for igual a 0 as vari\u00e1veis s\u00e3o independentes. &nbsp;<\/p>\n\n\n\n<p><strong><span class=\"has-inline-color has-vivid-green-cyan-color\">Exemplo<\/span>:<\/strong> (CESPE\/2016 \u2013 TCE\/PR) Se satisfa\u00e7\u00e3o no trabalho e sa\u00fade no trabalho forem indicadores com vari\u00e2ncias populacionais iguais a 8 e 2, respectivamente, e se a covari\u00e2ncia populacional entre esses indicadores for igual a 3, ent\u00e3o a correla\u00e7\u00e3o populacional entre satisfa\u00e7\u00e3o no trabalho e sa\u00fade no trabalho ser\u00e1 igual a<\/p>\n\n\n\n<p>p = 3 \/ sqrt 8 x sqrt 2<\/p>\n\n\n\n<p>p = 3 \/4<\/p>\n\n\n\n<p>p = 0,75<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Propriedades da Covari\u00e2ncia<\/h3>\n\n\n\n<p>Vamos finalizar o Resumo das Vari\u00e1veis discretas para ISS-BH vendo sobre as <strong><span class=\"has-inline-color has-vivid-green-cyan-color\">Propriedades da Covari\u00e2ncia.<\/span><\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\"><li><strong>Cov (X, Y) = Cov (Y, X)<\/strong> -&gt; A covari\u00e2ncia \u00e9 uma medida sim\u00e9trica<\/li><li><strong>Cov (X, Y) = V(X)<\/strong> -&gt; A covari\u00e2ncia da mesma vari\u00e1vel \u00e9 igual a sua vari\u00e2ncia<\/li><li><strong>Cov (k, X) = 0<\/strong> -&gt; A covari\u00e2ncia \u00e9 de uma constante \u00e9 zero<\/li><li><strong>Cov (X +- a, Y +-b) = Cov (X, Y)<\/strong> -&gt; A covari\u00e2ncia n\u00e3o \u00e9 alterada por soma ou subtra\u00e7\u00e3o de constantes<\/li><li><strong>Cov (X + Y, Z) = Cov (X, Z) + Cov (Y, Z)<\/strong><\/li><li><strong>Cov (kX, Y) = Cov (X, kY) = k Cov (Y, Z)<\/strong> -&gt; a multiplica\u00e7\u00e3o de uma constante \u00e9 igual \u00e0 constante multiplicado pela covari\u00e2ncia<\/li><\/ul>\n\n\n\n<h2 class=\"wp-block-heading\">Considera\u00e7\u00f5es Finais<\/h2>\n\n\n\n<p>Pessoal, chegamos ao final do Resumo das Vari\u00e1veis Discretas para ISS-BH. Espero que o artigo tenha sido \u00fatil para sua revis\u00e3o.<\/p>\n\n\n\n<p>O tema relacionado a correla\u00e7\u00e3o e covari\u00e2ncia de fato costuma ser bem complicado, assim aconselhamos que invista nos pdfs e at\u00e9 mesmo em videoaulas para complementar o conte\u00fado.<\/p>\n\n\n\n<p>Ainda, ressaltamos mais uma vez a import\u00e2ncia de praticar por exerc\u00edcios, assim fa\u00e7a muitas quest\u00f5es pelo nosso sistema de quest\u00f5es.<\/p>\n\n\n\n<p class=\"has-text-align-center\"><a href=\"https:\/\/concursos.estrategiaeducacional.com.br\/\">Sistema de Quest\u00f5es (SQ) \u2013 Estrat\u00e9gia Concursos<\/a><\/p>\n\n\n\n<p>Gostou do artigo? N\u00e3o deixe de seguir<\/p>\n\n\n\n<p><a href=\"https:\/\/www.instagram.com\/resumospassarin\/\">https:\/\/www.instagram.com\/resumospassarin\/<\/a><\/p>\n\n\n\n<h2 class=\"has-text-align-center wp-block-heading\" id=\"h-cursos-e-assinaturas\">Cursos e Assinaturas<\/h2>\n\n\n\n<div class=\"container\" id=\"boxes\">\n  <div class=\"row\">\n\n    <div class=\"col-sm\">\n      <div class=\"estrategia\" id=\"box-assinatura\">\n        <h3 class=\"titulo-assinatura\">Assinatura Concursos<\/h3>\n        <p class=\"subtitulo-assinatura\">Assinatura de 1 ano ou 2 anos<\/p>\n        <div class=\"box-botao\">\n          <a class=\"btn-assinatura\" target=\"_blank\" href=\"https:\/\/www.estrategiaconcursos.com.br\/assinaturas\/\" role=\"button\" rel=\"noopener noreferrer\">ASSINE AGORA<\/a>\n        <\/div>\n      <\/div><\/div><\/div><\/div>\n\n\n\n<div class=\"container\" id=\"boxes\">\n  <div class=\"row\">\n\n    <div class=\"col-sm\" id=\"boxes-concursos\">\n      <div style=\"background-color: #005DAD;\" class=\"conteudo-concursos\" id=\"box-concursos\">\n        <h3 class=\"titulo-assinatura\">Concursos Abertos<\/h3>\n        <p class=\"subtitulo-assinatura\">Os editais publicados<\/p>\n        <div class=\"box-botao\">\n          <a class=\"btn-assinatura\" target=\"_blank\" href=\"https:\/\/www.estrategiaconcursos.com.br\/blog\/concursos-abertos\/\" role=\"button\" rel=\"noopener noreferrer\">Conhe\u00e7a Agora<\/a>\n        <\/div>\n      <\/div>\n    <\/div>\n\n    <div class=\"col-sm\" id=\"boxes-concursos\">\n      <div style=\"background-color: #1A7ED5;\" class=\"conteudo-concursos\" id=\"box-concursos\">\n        <h3 class=\"titulo-assinatura\">Concursos 2021<\/h3>\n        <p class=\"subtitulo-assinatura\">As oportunidades previstas<\/p>\n        <div class=\"box-botao\">\n          <a class=\"btn-assinatura\" target=\"_blank\" href=\"https:\/\/www.estrategiaconcursos.com.br\/blog\/concursos-2021\/\" role=\"button\" rel=\"noopener noreferrer\">Conhe\u00e7a Agora<\/a>\n        <\/div>\n      <\/div>\n    <\/div>\n\n    <div class=\"col-sm\" id=\"boxes-concursos\">\n      <div style=\"background-color: #419FF0;\" class=\"conteudo-concursos\" id=\"box-concursos\">\n        <h3 class=\"titulo-assinatura\">Concursos 2022<\/h3>\n        <p class=\"subtitulo-assinatura\">Vagas para o pr\u00f3ximo ano<\/p>\n        <div class=\"box-botao\">\n          <a class=\"btn-assinatura\" target=\"_blank\" href=\"https:\/\/www.estrategiaconcursos.com.br\/blog\/concursos-2022\/\" role=\"button\" rel=\"noopener noreferrer\">Conhe\u00e7a Agora<\/a>\n        <\/div>\n      <\/div>\n    <\/div>\n\n  <\/div>\n<\/div>\n\n\n\n<div class=\"container\" id=\"boxes\">\n  <div class=\"row\">\n\n    <div class=\"col-sm\">\n      <div class=\"banner-tribunal\" id=\"box-assinatura\">\n        <h3 class=\"titulo-assinatura\">Cursos para Carreiras Jur\u00eddicas<\/h3>\n        <p class=\"subtitulo-assinatura\">Conhe\u00e7a os cursos<\/p>\n        <div class=\"box-botao\">\n          <a class=\"btn-assinatura\" target=\"_blank\" href=\"https:\/\/www.estrategiaconcursos.com.br\/cursosPorConcurso\/assinaturas-carreira-juridica\/\" rel=\"noopener noreferrer\">Conhe\u00e7a mais<\/a>\n        <\/div>\n      <\/div>\n      <p class=\"texto-auxiliar\">Prepare-se com o melhor material e com quem mais aprova em Concursos P\u00fablicos em todo o pa\u00eds.<\/p>\n    <\/div>\n\n  <\/div>\n<\/div>\n\n\n\n<p>At\u00e9 mais e bons estudos!<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Ol\u00e1, pessoal. Tudo certo? No artigo de hoje veremos o Resumo das Vari\u00e1veis Discretas para ISS-BH. Trata-se de um tema relativamente bem cobrado em prova, principalmente a parte da covari\u00e2ncia. Sem mais delongas, vamos l\u00e1. Conceitos Gerais Iniciemos o Resumo das Vari\u00e1veis Discretas para ISS-BH pelos conceitos gerais. Estat\u00edstica Inferencial: trata-se do estudo de parte [&hellip;]<\/p>\n","protected":false},"author":1763,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"post_tipo":"article","footnotes":""},"categories":[220183],"tags":[],"tax_estado":[219974],"class_list":["post-908855","post","type-post","status-publish","format-standard","hentry","category-fiscal-municipal","tax_estado-mg"],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v27.2 (Yoast SEO v27.2) - https:\/\/yoast.com\/product\/yoast-seo-premium-wordpress\/ -->\n<title>Resumo das Vari\u00e1veis Discretas para ISS-BH \u2013 Estat\u00edstica<\/title>\n<meta name=\"description\" content=\"Veja neste artigo o Resumo das Vari\u00e1veis Discretas para ISS-BH, focando principalmente na Fun\u00e7\u00e3o de probabilidade e na Covari\u00e2ncia.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, 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