Agame involves selecting a card from a regular 52-card deck and tossing a coin. the coin is a fair coin and is equally likely to land on heads or tails. you pay $3 to play each round. the random variable x is the net earnings when you play the game. • if the card is a face card, and the coin lands on heads, you win $9. • if the card is a face card, and the coin lands on tails, you win $6. • if the card is not a face card, you win nothing, no matter what the coin shows. a. how can you find the probability of the value of x = when a face card is chosen from the deck and a heads is tossed on the coin?

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.