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? \( \frac{0.8647}{0.6321} \) 0.1353

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. What is the variance associated with the number of failures over six consecutive months?

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

61. Se lanza un dado cargado, con forma de dodecaedro ( 12 caras), cuyas caras están numeradas consecutivamente desde el 1 al 12 , en que la probabilidad de caer en un número par es el triple que la de caer en un impar. ¿Cuál es la probabilidad de obtener al menos un 6 ?

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)?