In a radio station contest, the first prize is $2,000 and the second prize is $500. The probability of winning the first prize is 0.005 and the probability of winning the second prize is 0.008. The station runs this contest many, many times to increase its listening audience. What is the expected payout for each time the station offers the opportunity to win the prizes?

Stu and ambrose are working together on a study of whether diet is related to students' mental health. first, they randomly select 10 students from the student center and 10 students from the office of counseling and psychological services. then, they ask students to rate their diet in terms of healthiness on a scale of 1-100 before completing a 20-item mental health survey. a) name one of the constructs being studied b) how was the construct you named above operationally defined in this experiment? e) was the variable you described above their independent variable, their dependent variable, or a controlled variable? d) what is a confounding variable? what is a potential confound in this study?