[{"_1":2,"_230":-5,"_231":-5},"loaderData",{"_3":4,"_6":7},"root",{"_5":-5},"user","pages/questions/show/index",{"_8":9,"_10":11,"_44":45,"_46":47,"_55":206,"_207":208},"comments",[],"question",{"_12":13,"_14":15,"_16":17,"_18":19,"_41":15,"_42":43},"correctOptionId","e0fac472-a058-4c77-b968-dd7412d29285","difficulty","","id","0cdea184-1f1e-454a-ba2c-509aeb5317a6","options",[20,26,30,33,37],{"_16":21,"_22":23,"_24":25},"afd4b4c7-70c7-44b1-a692-fe23908e9f07","label","A","text","Calcular K = 0.2",{"_16":27,"_22":28,"_24":29},"c1167837-c756-4fbe-8607-21bea2490508","B","Calcular K = 0.4",{"_16":13,"_22":31,"_24":32},"C","Calcular K = 0.5",{"_16":34,"_22":35,"_24":36},"6b43b877-4be1-4557-9d68-728155c925cb","D","Calcular K = 0.1",{"_16":38,"_22":39,"_24":40},"4b4d8049-7b29-4063-b707-971c42023648","E","Calcular K = 0.3","solution_explanation","statement","

Uma variável aleatória tem a distribuição de probabilidade dada por P(X) = \\frac{K}{X} para X = 1, 3, 5, 7.

a) Calcular o valor de K

b) Calcular P(X = 5)

","relatedVideos",[],"similarQuestions",[48,138,155,169,186],{"_12":15,"_14":15,"_16":49,"_18":50,"_41":15,"_42":54,"_55":56},"0f243785-2671-4ac2-b393-30c50be58a54",[51],{"_16":52,"_22":23,"_24":53},"2265e302-44fc-4050-92b8-2151764f19fd","\\frac{18}{37}","

Em uma roleta com 18 números vermelhos, 18 números pretos e um número verde, qual é a probabilidade de sair um número vermelho?

","tags",[57,80,88,93,99,108,115,122,129,134],{"_16":58,"_59":60,"_61":62,"_63":64,"_65":66,"_67":68,"_69":68,"_70":71,"_78":79},"04d03c50-c9e3-45fa-8749-ad23385a1b2c","name","Raciocínio Lógico","alias","raciocinio-logico","tag_group_id","c1ce2cf2-b217-4cc7-8182-81c56bd3522d","parent_id","9772e958-72c6-4499-ad47-877cf94d670d","created_at","2025-04-29T02:19:12.828432+00:00","updated_at","metadata",{"_72":73,"_74":75,"_76":77},"childrenCount",22,"content_count",0,"question_count",769,"slug","raciocinio-logico-4",{"_16":81,"_59":82,"_61":83,"_63":64,"_65":84,"_67":85,"_69":85,"_70":86,"_78":87},"06a41d56-a23e-4337-a54c-3ed255a8f223","Probabilidade","probabilidade","842f2fc9-74a1-4d9a-9109-c105afe52a9b","2025-04-29T03:44:29.139762+00:00",{"_72":75,"_74":75,"_76":77},"probabilidade-4",{"_16":89,"_59":82,"_61":83,"_63":64,"_65":90,"_67":85,"_69":85,"_70":91,"_78":92},"1c5fb3cc-82b8-49e4-8810-2afa7edb7bff","65656e94-5b19-47ad-9371-8d2c86af096a",{"_72":75,"_74":75,"_76":77},"probabilidade-5",{"_16":90,"_59":94,"_61":95,"_63":64,"_65":66,"_67":68,"_69":68,"_70":96,"_78":98},"Matemática Atuarial","matematica-atuarial",{"_72":97,"_74":75,"_76":77},13,"matematica-atuarial-1",{"_16":84,"_59":100,"_61":101,"_63":64,"_65":102,"_67":103,"_69":103,"_70":104,"_78":107},"Estatística e Probabilidade","estatistica-e-probabilidade","b34d4581-a7e7-4d5d-be00-abe3d9a69032","2025-05-28T00:22:11.993731+00:00",{"_72":105,"_74":75,"_76":106},3,3386,"estatistica-e-probabilidade-c91c8148",{"_16":66,"_59":109,"_61":110,"_63":64,"_65":-5,"_67":111,"_69":111,"_70":112,"_78":110},"Exatas","exatas","2025-04-29T01:56:45.284172+00:00",{"_72":113,"_74":75,"_76":114},18,135489,{"_16":116,"_59":117,"_61":118,"_63":64,"_65":66,"_67":68,"_69":68,"_70":119,"_78":121},"b10c8955-621d-4b49-9c5f-7d4f4e6520a2","Atuária","atuaria",{"_72":120,"_74":75,"_76":77},25,"atuaria-1",{"_16":102,"_59":123,"_61":124,"_63":64,"_65":66,"_67":68,"_69":68,"_70":125,"_78":128},"Matemática","matematica",{"_72":126,"_74":75,"_76":127},8,40655,"matematica-10",{"_16":130,"_59":82,"_61":83,"_63":64,"_65":116,"_67":131,"_69":131,"_70":132,"_78":133},"be90822b-e907-4878-b35d-9b6d1686df11","2025-04-29T03:44:27.560682+00:00",{"_72":75,"_74":75,"_76":77},"probabilidade-3",{"_16":135,"_59":82,"_61":83,"_63":64,"_65":58,"_67":85,"_69":85,"_70":136,"_78":137},"d763ce0c-caf6-47ff-86ff-7d2473da556e",{"_72":75,"_74":75,"_76":77},"probabilidade-6",{"_12":15,"_14":15,"_16":139,"_18":140,"_41":15,"_42":153,"_55":154},"841214eb-f21d-434e-b049-f779bdafeb69",[141,144,147,150],{"_16":142,"_22":23,"_24":143},"bd87a9f0-52fa-49c5-b833-53482a235d63","Um ou dois dos eventos.",{"_16":145,"_22":28,"_24":146},"2b1ac38a-ee01-44e8-8c78-a1266eb4bf3f","Apenas um dos eventos.",{"_16":148,"_22":31,"_24":149},"8b2fdf1f-ae39-4a45-aef7-1c64490fb5f5","Apenas dois dos eventos.",{"_16":151,"_22":35,"_24":152},"d00821b3-41bc-404b-ac95-d9f7ce507ab9","Todos os eventos.","Sejam A, B e C três eventos quaisquer definidos em um espaço amostral S. Então, P(A) + P(B) + P(C) - P(A \u0016 B) - P(A \u0016 C) - P(B \u0016 C) refere-se à probabilidade da ocorrência de:",[57,80,88,93,99,108,115,122,129,134],{"_12":15,"_14":15,"_16":156,"_18":157,"_41":15,"_42":167,"_55":168},"c9b88c07-7161-4dec-b75b-62f9b0043c1e",[158,161,164],{"_16":159,"_22":23,"_24":160},"9ca651e3-04b3-4531-8c3c-b05f60f3a6f0","A probabilidade é \\frac{7}{12}.",{"_16":162,"_22":28,"_24":163},"93ed7831-0f1f-4031-b384-5ab59c82df9d","A probabilidade é \\frac{1}{4}.",{"_16":165,"_22":31,"_24":166},"634e8188-1ca4-41c4-aa22-a4333341dc49","A probabilidade é \\frac{2}{9}.","

Qual a probabilidade de escolher aleatoriamente uma bola que não seja preta de uma urna que contém 5 bolas pretas, 3 bolas brancas e 4 bolas vermelhas?

",[57,80,88,93,99,108,115,122,129,134],{"_12":15,"_14":15,"_16":170,"_18":171,"_41":15,"_42":184,"_55":185},"d25c5257-3ddf-4bce-b286-39ccbd2433bd",[172,175,178,181],{"_16":173,"_22":23,"_24":174},"45ca63f0-8fab-47f7-a978-5e065c2a32db","0,13.",{"_16":176,"_22":28,"_24":177},"814f1032-5c76-4f26-ab72-6dfd000a3fc9","0,20.",{"_16":179,"_22":31,"_24":180},"ab953864-8f2f-40a7-8c27-61efee605a38","0,23.",{"_16":182,"_22":35,"_24":183},"74df53b7-df81-42e3-865d-712be0d4065f","0,27.","Em um lote com 10 peças das quais 2 são defeituosas, retiram-se ao acaso quatro peças sem reposição, qual é a probabilidade de que duas sejam defeituosas na amostra selecionada?",[57,80,88,93,99,108,115,122,129,134],{"_12":15,"_14":15,"_16":187,"_18":188,"_41":15,"_42":204,"_55":205},"d74a3a3b-c175-4bc0-a9d1-a085bc2a829c",[189,192,195,198,201],{"_16":190,"_22":23,"_24":191},"08b19062-ee26-45dd-b914-2cc8e81c9bed","

Apenas I está correto.

",{"_16":193,"_22":28,"_24":194},"9b2fc3ac-3c64-4f46-8267-839d56dc5a66","

Apenas II está correto.

",{"_16":196,"_22":31,"_24":197},"e9bae569-c47f-4325-b46a-7d6f06c73d4c","

Apenas III está correto.

",{"_16":199,"_22":35,"_24":200},"34c4f5b4-24a2-4d20-9062-5523b1fd955f","

I e II estão corretos.

",{"_16":202,"_22":39,"_24":203},"7245c88f-e3dc-4176-a1fc-55569690264b","

I e III estão corretos.

","

Qual é o propósito do texto?

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