Calculus and Above

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Trainees must complete a specific...

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) = 0.92 - 0.42x 0 < x < 2

1) What is the probability a trainee will complete the task in less than 1.34 minutes? Give your answer to four decimal places.

2)What is the probability that a trainee will complete the task in more than 1.34 minutes? Give your answer to four decimal places.

3)What is the probability it will take a trainee between 0.58 minutes and 1.34 minutes to complete the task? Give your answer to four decimal places.

4)What is the expected time it will take a trainee to complete the task? Give your answer to four decimal places.

5)If X represents the time it takes to complete the task, what is E(X^2) ? Give your answer to four decimal places.

6)If X represents the time it takes to complete the task, what is Var(X)? Give your answer to four decimal places.

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