I have this problem... although I tried a few failed attempts but..
The number of boats that being repaired at a repair campus , during a week, is a Poisson distribution with k parameter . If k is also a random variable that gets the values 1,2,3,4 with probability 0.3 , 0.2 , 0.4 and 0.1 respectively, what is the probability that no ship is repaired this week?
So, I don't understand how to solve this, since we are not given the rate (k). Also I am a bit confused, because k is also a variable. I mean I don't exactly know how to attack this question.
I tried to solve it supposing that k variable is x ,in order to find k but its was helpless try .
Any opinions regarding this issue ?