Trainees 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 1.4 minutes? Give your answer to four decimal places. b) What is the probability that a trainee will complete the task in more than 1.4 minutes? Give your answer to four decimal places. c) What is the probability it will take a trainee between 0.42 minutes and 1.4 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.