Trainees must do specific task in less than 2 minutes. Consider the probability density function below for the time it takes a trainee to complete the task. *Please submit with 4 decimal points*

f(x) = 0.66 - 0.16x

0

a) What is the probability a trainee will complete the task in less than 1 minutes?

b) What is the probability that a trainee will complete the task in more than 1 minutes?

c) What is the probability it will take a trainee between 0.55 minutes and 1 minutes to complete the task?

d) What is the expected time it will take a trainee to complete the task?

e) If X represents the time it takes to complete the task, what is E(X²)?

f) If X represents the time it takes to complete the task, what is Var(X)?

Trainees must complete a specic task in less than 2 minutes. Consider the probability density function below for the time it takes a trainee to complete the task. x}: 0.66-0.16x U :1 X 4: 2 a) What is the probability a trainee will complete the task in less than 1 minutes? Give your answer to Four decimal places. : b} What is the probability that a trainee will complete the task in more than 1 minutes? Give your answer to four decimal c} what is the probability it will take a trainee between 0.55 minutes and 1 minutes to complete the task? Give your answer to four decimal places. :I d} 1What is the expected time it will take a trainee to complete the task? Giye your answer to four decimal places. : e) If X represents the time it takes to complete the task, what is ED-Ez)? Give your answer to four decimal places. : f} If X represents the time it takes to complete the task, what is Uar{(}? Give your answer to four decimal places