5) Diez corredores, ¿De cuántas maneras diferentes pueden obtener 3 premios distintos? \( \begin{array}{llll}\text { A) } 120 & \text { B) } 504 & \text { C) } 720 & \text { D) } 1000\end{array} \)

The number of births in a hospital follows a Poisson distribution with an average number of 1 birth per hour, What is the probability that there will be at least one birth within the next 2 hours? 0.8647 0.6321 0.1353 0.2707

In a town, the number of electric power failures occurs randomly with an average of one failure every 4 months. Calculate the probability that there will be no failure over the next six months. 0.2231 0.6653 0.1353 0.3679

17. La variable aleatoria continua \( X \) tiene la siguiente función de densidad \( d \) probabilidad: \[ f(x)=\left\{\begin{array}{l}0,25 ; \text { si } 0 \leq x \leq 4 \\ 0 \text { do }\end{array}\right. \] \[ \begin{array}{l}\text { dontrario }\end{array} \]

In a town, the number of electric power failures occurs randomly with an average of one failure every 4 months. What is the variance associated with the number of failures over six consecutive months?

The number of births in a hospital follows a Poisson distribution with an average number of 1 birth per hour. What is the standard deviation associated with the number of births within a whole day (i.e. over 24 hours)?