Answer:
Step-by-step explanation:
Given that trainees must complete a specific task in less than 2 minutes.Consider the probability density function below for the time ittakes a trainee to complete the task.
Hence F(x) = = cumulative distributive function for x between 0 and 2.
1) the probability a trainee will complete the task inless than 1 minutes
=F(1) = 0.67-0.085 = 0.585
2. the probability that a trainee will complete the task inmore than 1 minutes
=1-F(1) = 0.415
3. the probability it will take a trainee between 0.68 minutes and 1 minutes to complete the task
=F(1)-F(0.68) =0.168704
=0.1687
4. the expected time it will take a trainee to complete thetask
=
=0.8867
5.If X represents the time it takes to complete the task, what isE(X2)? Give your answer to four decimal places.
E(x^2) =
=1.1067
6.If X represents the time it takes to complete the task, what isVar(X)
Var(x) = E(x^2)-Mean^2
= 1.106667-0.886667^2
= 0.320489
=0.3205