Rainees must complete a specific task in less than 2 minutes. consider the probability density function below for the time it takes a trainee to complete the task. f(x) = 1 - 0.5x 0 < x < 2 a) what is the probability a trainee will complete the task in less than 1.48 minutes? give your answer to four decimal places. b) what is the probability that a trainee will complete the task in more than 1.48 minutes? give your answer to four decimal places. c) what is the probability it will take a trainee between 0.5 minutes and 1.48 minutes to complete the task? give your answer to four decimal places. d) what is the expected time it will take a trainee to complete the task? give your answer to four decimal places. e) if x represents the time it takes to complete the task, what is e(x2)? give your answer to four decimal places. f) if x represents the time it takes to complete the task, what is var(x)? give your answer to four decimal places.

Carter drank 15.75 gallons of water in 4 weeks. he drank the same amount of water each day.a. estimate how many gallons he drank in one day.b. estimate how many gallons he drank in one week.c. about how many days altogether will it take him to drink 20 gallons?

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.

What is the probably of getting heads when poing a coin and getting a number greater than or equal to 5 when rolling a single diea) 1/6b) 1/3c) 1/4d) 1/12