Suppose that three friends (X Y and Z) want to cook potatoes, eggs and toast for...

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Suppose that three friends (X Y and Z) want to cook potatoes, eggs and toast for breakfast of some weekend visitors. They divide the work, with each friend preparing one item. The following figure represents the sequence of the activities with each path representing the tasks for only one person, as follows: Top path (Z): Middle path (Y): Bottom path (X): Uniform(3,6) Start A B Start Start C Start -- A -- B -- Finish --C -- Finish -- Finish Along with the details of the tasks, the distribution of the task times is also presented on the figure. Uniform(3,6) A Crack eggs Scramble eggs Cook eggs Uniform(4.25,9.25) Make toast Butter toast Fry potatoes с Uniform(9,18) B Uniform(3,6) Uniform(4.25,9.25) Finish i. (6 pts) Simulate the completion time of 500 breakfast preparations and calculate the estimated mean and variance of the completion time. ii. (2 pts) Estimate the probability that person Y is the fastest. iii. (2 pts) Given that Z is the bottleneck person, find the probability that person Y is the fastest. iv. (2 pts) Given that person X is the fastest, estimate the mean completion time of the breakfast preparations. Note: Please submit your Excel files showing your calculations and results or your computer code along with your random components and all output and results. Suppose that three friends (X Y and Z) want to cook potatoes, eggs and toast for breakfast of some weekend visitors. They divide the work, with each friend preparing one item. The following figure represents the sequence of the activities with each path representing the tasks for only one person, as follows: Top path (Z): Middle path (Y): Bottom path (X): Uniform(3,6) Start A B Start Start C Start -- A -- B -- Finish --C -- Finish -- Finish Along with the details of the tasks, the distribution of the task times is also presented on the figure. Uniform(3,6) A Crack eggs Scramble eggs Cook eggs Uniform(4.25,9.25) Make toast Butter toast Fry potatoes с Uniform(9,18) B Uniform(3,6) Uniform(4.25,9.25) Finish i. (6 pts) Simulate the completion time of 500 breakfast preparations and calculate the estimated mean and variance of the completion time. ii. (2 pts) Estimate the probability that person Y is the fastest. iii. (2 pts) Given that Z is the bottleneck person, find the probability that person Y is the fastest. iv. (2 pts) Given that person X is the fastest, estimate the mean completion time of the breakfast preparations. Note: Please submit your Excel files showing your calculations and results or your computer code along with your random components and all output and results.

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i Simulating the completion time of 500 breakfast preparations and calculating the estimated mean and variance of the completion time To simulate the completion time of 500 breakfast preparations we w... View the full answer