Four lab rats stage a daring escape in broad daylight, eventually establishing a colony behind the laboratory's parking garage. After one month, the population of the colony has risen to eight rats. After two months, the population is sixteen; after three months, thirty-two, and so on. If the pattern continues, how many months will it take for the colony population to reach 1,024 rats?

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