In a recent study of a hive, it was found that there was a total of 4109 bees, not including the queen. There were thirty‑three more nurses than drones. The number of workers was twelve more than six times the number of drones. How many of each type of bee was in the hive?

An office supply company conducted a survey before marketing a new paper shredder designed for home use. in the survey, 80 % of the people who tried the shredder were satisfied with it. because of this high satisfaction rate, the company decided to market the new shredder. assume that 80 % of all people are satisfied with this shredder. during a certain month, 100 customers bought this shredder. find the probability that of these 100 customers, the number who are satisfied is 69 or fewer.