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Home » Compute \(\sum_k=1^50 \frac1k(k+1)\). - AMAZONAWS

Compute \(\sum_k=1^50 \frac1k(k+1)\). - AMAZONAWS

📅 March 5, 2026 👤 scraface

Mar 05, 2026

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📝 Recent Posts

Queremos la probabilidad de que $ X \leq Y - 15 $, es decir, Clara lle...
Tablamos el espacio muestral como un cuadrado en el plano $ XY $, con...
La condición $ X \leq Y - 15 $ implica $ Y \geq X + 15 $. La región en...
Enjulga los límites:
Cuando $ X = 0 $, $ Y \geq 15 $
Cuando $ X = 45 $, $ Y \geq 60 $
Para $ X > 45 $, $ Y \geq X + 15 > 60 $, lo cual está fuera del cuadra...
Así, la región válida es un trapecio desde $ X = 0 $ hasta $ X = 45 $,...
Área de esta región:
\int_0^{45} (60 - (X + 15))\, dX = \int_0^{45} (45 - X)\, dX = \left[4...

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