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A PERT activity has an optimistic time estimate of 3 days, pessimistic time estimate of 8 days, and a most likely time estimate of 10 days. What is the expected time of this activity?
  • a)
    5.0 days
  • b)
    7.5 days
  • c)
    8.0 days
  • d)
    8.5 days
Correct answer is option 'D'. Can you explain this answer?
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Question Analysis:
We are given the optimistic, pessimistic, and most likely time estimates for a PERT activity. PERT (Program Evaluation and Review Technique) is a statistical tool used in project management to analyze and represent the tasks involved in completing a project. The expected time of an activity can be calculated using the formula: expected time = (optimistic time + 4 * most likely time + pessimistic time) / 6.

Calculation:
Given: Optimistic time (to) = 3 days, Most likely time (tm) = 10 days, Pessimistic time (tp) = 8 days.

Using the formula: expected time = (to + 4 * tm + tp) / 6

Substituting the given values: expected time = (3 + 4 * 10 + 8) / 6

Simplifying the expression: expected time = (3 + 40 + 8) / 6

Further simplifying: expected time = 51 / 6

Dividing: expected time = 8.5 days

Therefore, the expected time for this activity is 8.5 days.

Answer:
The correct answer is option D) 8.5 days.
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Question error pessimistic time is maximum possible time
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A PERT activity has an optimistic time estimate of 3 days, pessimistic time estimate of 8 days, and a most likely time estimate of 10 days. What is the expected time of this activity?a) 5.0 daysb) 7.5 daysc) 8.0 daysd) 8.5 daysCorrect answer is option 'D'. Can you explain this answer?
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A PERT activity has an optimistic time estimate of 3 days, pessimistic time estimate of 8 days, and a most likely time estimate of 10 days. What is the expected time of this activity?a) 5.0 daysb) 7.5 daysc) 8.0 daysd) 8.5 daysCorrect answer is option 'D'. Can you explain this answer? for Mechanical Engineering 2024 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about A PERT activity has an optimistic time estimate of 3 days, pessimistic time estimate of 8 days, and a most likely time estimate of 10 days. What is the expected time of this activity?a) 5.0 daysb) 7.5 daysc) 8.0 daysd) 8.5 daysCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A PERT activity has an optimistic time estimate of 3 days, pessimistic time estimate of 8 days, and a most likely time estimate of 10 days. What is the expected time of this activity?a) 5.0 daysb) 7.5 daysc) 8.0 daysd) 8.5 daysCorrect answer is option 'D'. Can you explain this answer?.
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