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 no birth within the next 2 hours? 1.00 0.135 0.368 0.250

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

A photographer was told that the average number of lion sightings on a 3-day safari is 1. What is the probability of not seeing any lion over the course of the 3-day safari? 0.368 0.000 0.500 0.333

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 probability that there will be at least one birth within the next 2 hours? 0.8647 0.6321 0.1353 0.2707