consider the experiment below using population s. we define two discrete random variables, x the numeric value of a randomly drawn circle and the indicator variable y that equals 1 if the selected circle is shaded, and 0 if it is not shaded. a. consider x, the numerical value on the circle. if the circles are equally likely to be chosen (say after shuffling), then in a large number of experiments (i. e., shuffling and drawing one of the ten slips), summarize the probabilities of possible outcomes using a probability density function. b. given a joint probability density function, find the marginal distributions for

Prior to the creation of the us constitution, the general view of representative government is that it only worked in very small-scale environments- essentially a city-state or smaller. otherwise, the actual reflection of popular will declined in the representatives (ie, the difference between 1 representative per 100 citizens and 1 representative per 10,000 citizens), and generally the whole process became inefficient and self-destructive.james madison, however, was like 'no beezy'. he remarked that small republics were prone to faction and thus collapsed quickly. a large republic, he said, had so many interests and factions that none could rule, and thus they had to moderate and compromise.

Answer such tools are fail proof;

Dis the answer hope this

Ithink it’s a but it might be wrong so sorry