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?

Samson is going shopping for sugar and butter to make three different kinds of cookies: lemon bars, peanut butter cookies, and sugar cookies. the recipe for lemon bars calls for 2 cups of flour, 2 cups of sugar, and 1 stick of butter. the peanut butter cookie recipe calls for 2 cups of flour, 4 cup of sugar and 2 stick of butter. the sugar cookie recipe calls for 1 cup of flour, 2 cups of sugar, and 2 sticks of butter. sampson has 13 cups of flour at home, and he buys 12 cups (6 pounds) of sugar and 10 sticks of butter. how many batches of each type of cookie can he make? samson can make batches of lemon bars, batches of peanut butter cookies, and batches of 09 cookies submit reset