1. The problem statement, all variables and given/known data There are two stores A and B. Customers can equally enter one of the two stores, i.e., for a specific customer, the probabilities she enters store A or B both are 0.5. If the total number of customers in two stores has the Poisson distribution of parameter λ, then Question 1: What is the probability that the number of customers in store A is non-zero and store B has no customers; Question 2: What is the probability that the number of customers in store A is exactly 2 and store B has no customers. 2. Relevant equations Poisson distribution: p(x)=λx/x! * e-λ 3. The attempt at a solution Answer 1: (1-p(0))*(0.5+0.52+0.53+...)=1-e-λ Comment: The probability that there are some customer in some store is 1 - p(0), then the probability that x customers entered store A is 0.5x, hence their product should yield the desired answer? Answer 2: p(2)*0.52 Comment: Similar strategy as answer 1. Are these correct? Thank you in advance!