Steve Owns a retail store, every min, a customer arrives with probability 0.2(Assume maximum of 1 customer will arrive) a, every min a customer(already in the store) purchase a product and leave with probability 0.3(Assume maximum of 1 customer will leave every min). Due to Covid 19, the store has a maximum capacity of 25 customers. Assume that if a customer arrives when the retail store is already at maximum capacity then the customer will leave instead. (Note: Both departure and arrival can happen at same time. Also, Given that state variable and state space Xn: the number of customers in the store at the n-th min Sx = {1,2,.25} Pij = 0.14 Pji = 0.24 Pii = 0.62 (a) Which one Is more likely 12 customers currently inside stores or 15 customer currently in the store Justify your answer. (B) compute P(X = 12) and P(X = 15)

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