Sea \( f \) la función de probabilidad de la variable aleatoria \( x \) definida \( p \) \( f(x)=\left\{\begin{array}{cl}k \cdot(4-x) & , \text { si } x=1 \\ k x & , \\ \text { si } x=2 \\ 0 & , \\ \text { en otro caso }\end{array}\right. \) El valor de \( k \) es

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

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)?

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

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 whole year. 0.000 0.05 0.735