The state of georgia has several statewide lottery options. one of the simpler ones is a "pick 3" game in which you pick one of the 1000 three-digit numbers between 000 and 999. the lottery selects a three-digit number at random. with a bet of $1, you win $330 if your number is selected and nothing ($0) otherwise. let x denote your winnings for a $1 bet, so x = $0 or x = $330. construct the probability distribution for x.

In a study of the relationship between socio-economic class and unethical behavior, 129 university of california undergraduates at berkeley were asked to identify themselves as having low or high social-class by comparing themselves to others with the most (least) money, most (least) education, and most (least) respected jobs. they were also presented with a jar of individually wrapped candies and informed that the candies were for children in a nearby laboratory, but that they could take some if they wanted. after completing some unrelated tasks, participants reported the number of candies they had taken. it was found that those who were identiď¬ed as upper-class took more candy than others. in this study, identify: (a) the cases, (b) the variables and their types, (c) the main research question, (d) identify the population of interest and the sample in this study, and (e) comment on whether or not the results of the study can be generalized to the population, and if the ď¬ndings of the study can be used to establish causal relationships.