1.. llUJJLJlJJJ'J. U \\LU 1.. UliV 1U} You work at Airbnb, and are tasked with modeling the vacancy of rental properties. In partic ular, it is of interest to know how many empty rentals there are at each point in time. Assume that the number of guests arriving at Airbnb properties is Poisson distributed with mean it. Also, assuming that each guest operates independently of the others, suppose the number of guests who remain each day (out of those in the properties) is binomially distributed with pa- rameter 'p'. Let X n be a stochastic process that counts the number of empty properties (and suppose that there are M