An airline has scheduled weekly flights to a specific destination. For this route there are two types of passages: tourists and executives. Ticket requests are known For both types of passengers receiving independent Poisson Process agreements: {(),   0} at rate  passages per day and {(),   0} at a rate  passages per day (with > ) respectively. Suppose the sale of tickets for each flight closes one day before the scheduled date for this. a) Determine a simplified expression for the distribution of probabilities of the number of passengers traveling on any given flight. b) Now suppose that the airline has decided to carry out a flight for that route only if that flight has been sold in full. Suppose further that no there are pre-established quotas for neither of the two types of passages. Decide a simplified expression for the probability that 30% of passengers who traveling on such a flight is an executive type. Hint: Assume the capacity of the plane is m.