Mention every part and give step by step solution of every part

1. Erik and Ivanaka have opened a new Covfefe clinic. Inside there are two chairs for the intravenous administration of Covfefe and 3 waiting spaces. Customers arrive as a Poisson process with rate 6 per hour. Each administration lasts on average 15 minutes. If customers arrive when the clinic is full they are turned away and never come back. If both chairs are occupied, but there is waiting space, customers elect to stay independently with probability 2/3, otherwise they balk (this means they decide not to enter and leave). Each customer is only willing to wait a certain time before walking out. Assume the mean time before a customer gives up and leaves is 10 minutes. All times are exponentially distributed. (a) What is the rate that customers get fed up waiting and leave? (b) What is the proportion of customers who enter but then give up waiting and leave? (c) What proportion of customers enter upon arrival? (d) What proportion of potential customers are served