The wheat hanvesting seascn in the American Midwest is short, and farmers detwer their truckloads of wheat to a giant central storage bin within a 2 -week span. Because of this, wheat-filied trucks waiting to unioad and return to the fields have been known to back up for a tlock at the recolving bin. The cantrat bin is owned cooperatively, and it is to every farmer's beneft to make the unloadingistorage process as efficient as possible. The cost of grain deterioration caused by unloading detays and the cost of truck rental and idle driver time are significant concerns to the cooperative members. Although farmers have difliculy quantifing crop damago, it is easy to assign a woling and unloading cout for truck and driver of $18 per hour. During the 2 -week. harvest season, the storage bin is opon and operated 16 hours per day, 7 days per week, and can unloed 34 trucks per hour according to a negative exponenfial distribution. Full trucks arrive all day long (during the hours the bin is open) at a rate of about 32 per hou, following a Poisson pattern. To help the cooperative get a handle on the problem of lost time while trucks are waiting in line or unloading at the bin, find the following: a) The average number of trucks in the unloading system = trucks (round your response to two docimal placos). b) The average time per truck in the system = 30 minutos (round your rosponse to the nearest wholo number) c) The uticration rate for the bin area = (round your rosponse to three decimal places). d) The probability that there are more than three trucks in the system * (round your response to throo docimal places)