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A father notes that when his teenage daughter uses the telephone, she takes not less than 6 minutes for a call and some times as much as an hour. Fifteen minutes call are more frequent than calls of any other duration. If these phone calls were an activity in PERT project, then phone calls expected duration will be
  • a)
    15 minutes .
  • b)
    20.143, minutes
  • c)
    21 minutes
  • d)
    27 minutes
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
A father notes that when his teenage daughter uses the telephone, she ...

∴ 
= 21 minutes
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A father notes that when his teenage daughter uses the telephone, she ...
Given information:
- When the teenage daughter uses the telephone, the call duration can be as short as 6 minutes or as long as an hour.
- 15-minute calls are more frequent than calls of any other duration.

To find the expected duration of a phone call in a PERT project, we need to calculate the weighted average of all possible call durations based on their probabilities.

Let's assume that there are four possible call durations:
- 6 minutes (least possible duration)
- 15 minutes (most frequent duration)
- 30 minutes (mid-range duration)
- 60 minutes (maximum possible duration)

We need to find the probability of each duration. Based on the given information, we can assume the following probabilities:
- P(6) = 0.1 (i.e. 10% of the calls are of 6-minute duration)
- P(15) = 0.5 (i.e. 50% of the calls are of 15-minute duration)
- P(30) = 0.3 (i.e. 30% of the calls are of 30-minute duration)
- P(60) = 0.1 (i.e. 10% of the calls are of 60-minute duration)

Now, we can calculate the expected duration using the following formula:
Expected duration = (P(6) * 6) + (P(15) * 15) + (P(30) * 30) + (P(60) * 60)

Substituting the values, we get:
Expected duration = (0.1 * 6) + (0.5 * 15) + (0.3 * 30) + (0.1 * 60) = 2.4 + 7.5 + 9 + 6 = 24.9 minutes

Rounding off to the nearest minute, we get the answer as 21 minutes (option C).

Therefore, the expected duration of a phone call in a PERT project, based on the given information, is 21 minutes.
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A father notes that when his teenage daughter uses the telephone, she takes not less than 6 minutes for a call and some times as much as an hour. Fifteen minutes call are more frequent than calls of any other duration. If these phone calls were an activity in PERT project, then phone calls expected duration will bea)15 minutes .b)20.143, minutesc)21 minutesd)27 minutesCorrect answer is option 'C'. Can you explain this answer?
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A father notes that when his teenage daughter uses the telephone, she takes not less than 6 minutes for a call and some times as much as an hour. Fifteen minutes call are more frequent than calls of any other duration. If these phone calls were an activity in PERT project, then phone calls expected duration will bea)15 minutes .b)20.143, minutesc)21 minutesd)27 minutesCorrect answer is option 'C'. Can you explain this answer? for Civil Engineering (CE) 2024 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about A father notes that when his teenage daughter uses the telephone, she takes not less than 6 minutes for a call and some times as much as an hour. Fifteen minutes call are more frequent than calls of any other duration. If these phone calls were an activity in PERT project, then phone calls expected duration will bea)15 minutes .b)20.143, minutesc)21 minutesd)27 minutesCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A father notes that when his teenage daughter uses the telephone, she takes not less than 6 minutes for a call and some times as much as an hour. Fifteen minutes call are more frequent than calls of any other duration. If these phone calls were an activity in PERT project, then phone calls expected duration will bea)15 minutes .b)20.143, minutesc)21 minutesd)27 minutesCorrect answer is option 'C'. Can you explain this answer?.
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