Pessimistic time and optimistic time of completion of an activity are given as 10 days and 4 days respectively, the variance of the activity will be 

This question was previously asked in
JKSSB JE ME 2015 Official Paper
View all JKSSB JE Papers >
  1. 1
  2. 6
  3. 12
  4. 18

Answer (Detailed Solution Below)

Option 1 : 1
Free
ST 1: JKSSB JE - Surveying
4.9 K Users
20 Questions 20 Marks 20 Mins

Detailed Solution

Download Solution PDF

Concept:

Project Evaluation and Review Technique (PERT) is probabilistic in nature and is based upon three-time estimates to complete an activity.

Optimistic Time (to): It is the minimum time that will be taken to complete an activity if everything goes according to the plan.

Pessimistic Time (tp): It is the maximum time that will be taken to complete an activity when everything goes against the plan.

Most likely time (tm): It is the time required to complete a project when an activity is executed under normal conditions.

Average or most expected time is given by \({t_E} = \left( {\frac{{{t_p}\; + \;4{t_m}\; + {t_o}}}{6}} \right)\)

The variance gives the measure of uncertainty of activity completion. The variance of the activity is given by 

Variance, \(V = {\left( {\frac{{{t_p} - {t_0}}}{6}} \right)^2}\)

Standard duration, \(\sigma = \sqrt {variance} \)

Calculation:

Given:

tp = 10 days, to = 4 days

\({\rm{V}} = {\left( {\frac{{{{\rm{t}}_{\rm{p}}} - {{\rm{t}}_{\rm{o}}}}}{6}} \right)^2} = {\left( {\frac{{10 - 4}}{6}} \right)^2} = 1\)

The variance of the activity is 1.

Latest JKSSB JE Updates

Last updated on May 19, 2025

-> JKSSB Junior Engineer recruitment exam date 2025 for Civil and Electrical Engineering has been released on its official website. 

-> JKSSB JE exam will be conducted on 10th August (Civil), and on 27th July 2025 (Electrical).

-> JKSSB JE recruitment 2025 notification has been released for Civil Engineering. 

-> A total of 508 vacancies has been announced for JKSSB JE Civil Engineering recruitment 2025. 

-> JKSSB JE Online Application form will be activated from18th May 2025 to 16th June 2025 

-> Candidates who are preparing for JKSSB JE can download syllabus PDF from official website of JKSSB.

-> The candidates can check the JKSSB JE Previous Year Papers to understand the difficulty level of the exam.

-> Candidates also attempt the JKSSB JE Mock Test which gives you an experience of the actual exam.

More Operations Research Questions

Get Free Access Now
Hot Links: teen patti online game teen patti bliss teen patti online teen patti wala game