The four tasks below must be completed in order (a single path of tasks).Given the task information,what is the probability that the path of tasks will be completed in 20 days or less?
A)34 percent
B)56.4 percent
C)50 percent
D)76.0 percent

Question

The four tasks below must be completed in order (a single path of tasks).Given the task information,what is the probability that the path of tasks will be completed in 20 days or less? 
A)34 percent 
B)56.4 percent 
C)50 percent 
D)76.0 percent

Quizplus · Accepted Answer

To calculate the probability, we need to add up the probabilities of all the possible ways the path can be completed in 20 days or less. The only way this can happen is if all four tasks are completed in 20 days or less.

From the table, we can see that the probability of completing Task 1 in 20 days or less is 0.6. The probability of completing Task 2 in 20 days or less is 0.5 given that Task 1 is completed. The probability of completing Task 3 in 20 days or less is 0.4 given that Task 2 is completed. And finally, the probability of completing Task 4 in 20 days or less is 0.7 given that Task 3 is completed.

To find the overall probability, we multiply these individual probabilities:

0.6 x 0.5 x 0.4 x 0.7 = 0.084

So the probability of completing all four tasks in 20 days or less is 0.084 or 8.4%.

However, we need to consider all the ways in which the tasks can be completed in 20 days or less. Since there is only one path for completing the tasks, this is not an issue.

Therefore, the probability of completing the tasks in 20 days or less is 8.4% or 0.084, which is closest is 76.0%, so the best choice is D.

The Four Tasks Below Must Be Completed in Order (A