There are 100 slips of paper in a hat, each with a different number between 1 and 100. (a) five slips are drawn with replacement. what is the distribution of the number of drawn slips with the value of at least 80 written on them? what is the probability that the number 100 is drawn at least once? (b) now suppose these five slips are drawn without replacement. what is the distribution of the number of drawn slips with the value of at least 80 written on them? what is the distribution of the value of the jth draw for 1 ≤ j ≤ 5? what is the probability that the number 100 is drawn at least once? is this higher or lower than for the case of drawing with replacement? why?