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Variable aleatoria discreta

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Lizeth Vargas Vera
Lizeth Vargas Vera

DefiniciΓ³n de variable aleatoria discreta

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Variable aleatoria discreta π‘ˆπ‘›π‘Ž π‘£π‘Žπ‘Ÿπ‘–π‘Žπ‘π‘™π‘’ π‘Žπ‘™π‘’π‘Žπ‘‘π‘œπ‘Ÿπ‘–π‘Ž 𝑋 ∢ (Ω, 𝐴, 𝑃)βˆ’β†’ ( 𝑅, 𝐡, 𝑃𝑋) 𝑒𝑠 π‘‘π‘–π‘ π‘π‘Ÿπ‘’π‘‘π‘Ž 𝑠𝑖 π‘‘π‘œπ‘šπ‘Ž π‘£π‘Žπ‘™π‘œπ‘Ÿπ‘’π‘  𝑒𝑛 𝑒𝑛 π‘π‘œπ‘›π‘—π‘’π‘›π‘‘π‘œ π‘›π‘’π‘šπ‘’π‘Ÿπ‘Žπ‘π‘™π‘’, 𝑒𝑠 π‘‘π‘’π‘π‘–π‘Ÿ, βˆƒπΈπ‘‹ βŠ‚ 𝑅 π‘‘π‘Žπ‘™ π‘žπ‘’π‘’ 𝑃( 𝑋 ∈ 𝐸𝑋) = 1 π‘π‘œπ‘‘π‘Ž: 𝐸𝑋 𝑒𝑠 𝑒𝑙 π‘π‘œπ‘›π‘—π‘’π‘›π‘‘π‘œ 𝑑𝑒 π‘£π‘Žπ‘™π‘œπ‘Ÿπ‘’π‘  𝑑𝑒 π‘™π‘Ž π‘£π‘Žπ‘Ÿπ‘–π‘Žπ‘π‘™π‘’ 𝑦 𝑒𝑠 π‘π‘™π‘Žπ‘Ÿπ‘œ π‘žπ‘’π‘’ π‘₯ /∈ 𝐸𝑋, 𝑃(𝑋 = π‘₯) = 0

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Variable aleatoria discreta

  • 1. Variable aleatoria discreta π‘ˆπ‘›π‘Ž π‘£π‘Žπ‘Ÿπ‘–π‘Žπ‘π‘™π‘’ π‘Žπ‘™π‘’π‘Žπ‘‘π‘œπ‘Ÿπ‘–π‘Ž 𝑋 ∢ (Ω, 𝐴, 𝑃)βˆ’β†’ ( 𝑅, 𝐡, 𝑃𝑋) 𝑒𝑠 π‘‘π‘–π‘ π‘π‘Ÿπ‘’π‘‘π‘Ž 𝑠𝑖 π‘‘π‘œπ‘šπ‘Ž π‘£π‘Žπ‘™π‘œπ‘Ÿπ‘’π‘  𝑒𝑛 𝑒𝑛 π‘π‘œπ‘›π‘—π‘’π‘›π‘‘π‘œ π‘›π‘’π‘šπ‘’π‘Ÿπ‘Žπ‘π‘™π‘’, 𝑒𝑠 π‘‘π‘’π‘π‘–π‘Ÿ, βˆƒπΈπ‘‹ βŠ‚ 𝑅 π‘‘π‘Žπ‘™ π‘žπ‘’π‘’ 𝑃( 𝑋 ∈ 𝐸𝑋) = 1 π‘π‘œπ‘‘π‘Ž: 𝐸𝑋 𝑒𝑠 𝑒𝑙 π‘π‘œπ‘›π‘—π‘’π‘›π‘‘π‘œ 𝑑𝑒 π‘£π‘Žπ‘™π‘œπ‘Ÿπ‘’π‘  𝑑𝑒 π‘™π‘Ž π‘£π‘Žπ‘Ÿπ‘–π‘Žπ‘π‘™π‘’ 𝑦 𝑒𝑠 π‘π‘™π‘Žπ‘Ÿπ‘œ π‘žπ‘’π‘’ π‘₯ /∈ 𝐸𝑋, 𝑃(𝑋 = π‘₯) = 0