(a) Use queueing theory to answer the following questions. During the festival season customers arrive at Hotel Cielo Azul according to a Poisson stream with a 'booking' arriving on average every 20 minutes. Cielo Azul has just one receptionist and on average it takes 17 minutes to process documents and to allocate a room. (i) On average how many customers will be waiting in reception? (ii) What proportion of the time is the reception quiet? (iii) What advice would you give Hotel Cielo Azul