A middle school football player, Bo, is just learning how to kick field goals. Currently, he only makes 1/3 of his kicks. A number cube is being used to simulate the result of Bo’s kicks where the numbers 11 or 22 represent a made field goal and the numbers 3,4,5, or 6 represent a missed field goal. Use the following 20 trials of rolling a fair number cube to answer each question. ​ 2436 4251 6233 5316 5212

​ 6643 5326 5313 2152 4164

​ 3642 3554 6413 2563 4533

​ 2512 6634 4536 2112 5546

a. The estimate of the probability that Bo makes three or four field goals is .

​b. The estimate of the probability that Bo does not make any field goals is

Ascientist studied a population of workers to determine whether verbal praise and/or tangible rewards affect employee productivity. in the study, some workers were offered verbal praise, some were offered tangible rewards (gift cards, presents, and some were offered neither. the productivity of each participant was measured throughout the study by recording the number of daily tasks completed by each employee. which inference might the scientists make based on the given information? a.) the number of daily tasks completed by each employee may influence the dependent variable, which is whether the employee receives verbal praise, tangible rewards, or neither. b.) verbal praise and/or tangible rewards may influence the independent variable, which is the number of daily tasks completed by each employee. c.) verbal praise and/or tangible rewards may influence the dependent variable, which is the number of daily tasks completed by each employee. d.) the dependent variables, which are verbal praise and tangible rewards, may influence the number of daily tasks completed by each employee.