Four cups are placed upturned on the counter. each cup has the same number of sweets and a declaration about the number of sweets in it. The declaration are: Five or six, seven or eight, six or seven, seven or five. Only one of the declaration is correct. How many sweets are there under each cup?

Four airplanes carrying a total of 400 passengersarrive at the detroit airport. the airplanes carry, respectively,50, 80, 110, and 160 passengers.a) one of the 400 passengers is selected uniformly at random.let x denote the number of passengers that were on theairplane carrying the randomly selected passenger. find var(x)for x as given in the problemb) one of the 4 airplane drivers is also selected uniformly atrandom. let y denote the number of passengers on the chosen driver’s airplane. find var(y) for y as given in the problem