Suppose that X represents for the number of fishes caught on a certain day at a Michigan lake, and there is no available informa
tion whether a visitor fished or not. Note that X only takes nonnegative integet values, i.e. XE X = {0,1,2,...}. There are two situations when X = 0 occurs: X always takes zero value either for some visitors who do not fish (G1); or some visitors who did fish (G2) but did not catch any fish. Assume that the number of fishes in G, follow a standard Poisson distribution with parameter 1, and let O be the probability that a visitor from Gj. Find the pmf of X.
