Goodwin Watkins
12/10/2023 · Junior High School

1. La vida útil, en días, para frascos de cierta medicina de prescripción es una variable aleatoria continua \( X \) que tiene la siguiente función de densidad de probabilidad \[ f(x)=\left\{\begin{array}{ll}2 e^{-x} \sqrt{e^{-2 x}+1}, & x \geq c \\ 0, & x<c\end{array}\right. \]

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La función de densidad de probabilidad \( f(x) \) describe la vida útil de frascos de medicina. Debe ser no negativa y su integral sobre su dominio debe ser 1. El valor de \( c \) debe ser proporcionado para calcular parámetros como la esperanza o la varianza.

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