Nico met claire boucher (grimes) at mcgill. he has been waiting for the release of her next album. assume that the waiting time is exponential with mean 3 years. to keep up with releases nico receives resident advisor’s monthly album review newsletter. assume that the album will be featured in the next issue after its release. let x be the number of newsletters required to get news of the release of the album. find the probability mass function of x

Step-by-step explanation:

According to the probabilistic relationship between the exponential distribution and the Poisson distribution, which expresses that if the time between events is exponential with mean m (rate L=1/m) then the number of events of a t time is Poisson with a L*t parameter. Therefore, the probability mass function is given by,

Where,

m: mean

In this case as we have that the mean is 3 (that is m=3), then the probability mass function of X is: