Expected Time given Probability Factor Calculator

✖Scheduled Time is the time which is made as per the experience and practice by the creator of the project.ⓘ Scheduled Time [T_s]			+10% -10%
✖The Standard Deviation is a measure of how spread out numbers are.ⓘ Standard Deviation [σ]			+10% -10%
✖The probability Factor is a term used to find the probability of a project getting completed in the expected time.ⓘ Probability Factor [Z]			+10% -10%

✖Mean Time, also called expected time is the time needed to complete an activity.ⓘ Expected Time given Probability Factor [t_e]

⎘ Copy

👎

Formula

✖

Expected Time given Probability Factor

Formula

`"t"_{"e"} = "T"_{"s"}-("σ"*"Z")`

Example

`"4.0001d"="6.7d"-("1.33"*"2.03")`

Calculator

LaTeX

Reset

👍

Download Project Evaluation and Review Technique Formulas PDF PDF Image

Expected Time given Probability Factor Solution

STEP 0: Pre-Calculation Summary

Formula Used

Mean Time = Scheduled Time-(Standard Deviation*Probability Factor)
t_e = T_s-(σ*Z)
This formula uses 4 Variables

Variables Used

Mean Time - (Measured in Day) - Mean Time, also called expected time is the time needed to complete an activity.
Scheduled Time - (Measured in Day) - Scheduled Time is the time which is made as per the experience and practice by the creator of the project.
Standard Deviation - The Standard Deviation is a measure of how spread out numbers are.
Probability Factor - The probability Factor is a term used to find the probability of a project getting completed in the expected time.

STEP 1: Convert Input(s) to Base Unit

Scheduled Time: 6.7 Day --> 6.7 Day No Conversion Required
Standard Deviation: 1.33 --> No Conversion Required
Probability Factor: 2.03 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

t_e = T_s-(σ*Z) --> 6.7-(1.33*2.03)

Evaluating ... ...

t_e = 4.0001

STEP 3: Convert Result to Output's Unit

345608.64 Second -->4.0001 Day (Check conversion here)

FINAL ANSWER

4.0001 Day <-- Mean Time

(Calculation completed in 00.004 seconds)

You are here -

Home » Engineering » Civil » Construction Practice, Planning and Management » Project Evaluation and Review Technique » Expected Time given Probability Factor

Credits

Created by Chandana P Dev

NSS College of Engineering (NSSCE), Palakkad

Chandana P Dev has created this Calculator and 500+ more calculators!

Verified by Mithila Muthamma PA

Coorg Institute of Technology (CIT), Coorg

Mithila Muthamma PA has verified this Calculator and 700+ more calculators!

< 17 Project Evaluation and Review Technique Calculators

Optimistic Time given Expected Time

Go Optimistic Time = (6*Mean Time)-(4*Most Likely Time)-Pessimistic Time

Mean or Expected Time

Go Mean Time = (Optimistic Time+(4*Most Likely Time)+Pessimistic Time)/6

Most Likely Time given Expected Time

Go Most Likely Time = (6*Mean Time-Optimistic Time-Pessimistic Time)/4

Standard Deviation given Probability Factor

Go Standard Deviation = (Scheduled Time-Mean Time)/Probability Factor

Scheduled Time given Probability Factor

Go Scheduled Time = (Standard Deviation*Probability Factor)+Mean Time

Expected Time given Probability Factor

Go Mean Time = Scheduled Time-(Standard Deviation*Probability Factor)

Probability Factor

Go Probability Factor = (Scheduled Time-Mean Time)/Standard Deviation

Pessimistic Time given Expected Time

Go Pessimistic Time = 6*Mean Time-Optimistic Time-4*Most Likely Time

Earliest Expected Occurrence Time of Event j

Go Earliest Occurrence Time of j = Earliest Occurrence Time of i+Duration of i-j

Earliest Expected Occurrence Time of Event i

Go Earliest Occurrence Time of i = Earliest Occurrence Time of j-Duration of i-j

Expected Time of Activity i-j

Go Duration of i-j = Earliest Occurrence Time of j-Earliest Occurrence Time of i

Slack of Event i or j

Go Slack of an Event = LOT of Event j-Earliest Occurrence Time of j

Optimistic Time given Standard Deviation

Go Optimistic Time = -(6*Standard Deviation-Pessimistic Time)

Standard Deviation of Activity

Go Standard Deviation = (Pessimistic Time-Optimistic Time)/6

Pessimistic Time given Standard Deviation

Go Pessimistic Time = 6*Standard Deviation+Optimistic Time

Least Allowable Occurrence Time of Event i

Go LOT of Event i = LOT of Event j-Duration of i-j

Least Allowable Occurrence Time of Event j

Go LOT of Event j = LOT of Event i+Duration of i-j

Expected Time given Probability Factor Formula

Mean Time = Scheduled Time-(Standard Deviation*Probability Factor)
t_e = T_s-(σ*Z)

What is Probability of Occurrence of an Event?

The probability of a project to complete at expected time is 50% and this probability increases or decreases according to the increase or decrease on scheduled time. Since the probability distribution of the entire project is in normal distribution, the probability can be determined using probability factor. If the factor is 0, probability of completing project at expected time is 50%

What is Programme Evaluation and Review Technique (PERT)?

It is a numerical technique used in projects in which time cannot be estimated accurately such as research and development projects. It is an event-oriented network. Cost is assumed to be directly proportional to time.
Three time estimates are made in PERT.
1. Optimistic time (to): This is the minimum possible time in which an activity can be completed under the most ideal conditions.
2. Pessimistic time (tp): This is the maximum time required to complete an activity under the worst possible conditions.
3. Most likely time (tm): This is the time required to complete an activity under normal working conditions. It's value lies between to and tp It is near to the expected time.

How to Calculate Expected Time given Probability Factor?

Expected Time given Probability Factor calculator uses Mean Time = Scheduled Time-(Standard Deviation*Probability Factor) to calculate the Mean Time, The Expected Time given Probability Factor formula is defined as the mean time for completion of the event, if a factor is 0, then scheduled time = expected time and hence probability is 50%. Mean Time is denoted by t_e symbol.

How to calculate Expected Time given Probability Factor using this online calculator? To use this online calculator for Expected Time given Probability Factor, enter Scheduled Time (T_s), Standard Deviation (σ) & Probability Factor (Z) and hit the calculate button. Here is how the Expected Time given Probability Factor calculation can be explained with given input values -> 4.6E-5 = 578880-(1.33*2.03).

FAQ

What is Expected Time given Probability Factor?

The Expected Time given Probability Factor formula is defined as the mean time for completion of the event, if a factor is 0, then scheduled time = expected time and hence probability is 50% and is represented as t_e = T_s-(σ*Z) or Mean Time = Scheduled Time-(Standard Deviation*Probability Factor). Scheduled Time is the time which is made as per the experience and practice by the creator of the project, The Standard Deviation is a measure of how spread out numbers are & The probability Factor is a term used to find the probability of a project getting completed in the expected time.

How to calculate Expected Time given Probability Factor?

The Expected Time given Probability Factor formula is defined as the mean time for completion of the event, if a factor is 0, then scheduled time = expected time and hence probability is 50% is calculated using Mean Time = Scheduled Time-(Standard Deviation*Probability Factor). To calculate Expected Time given Probability Factor, you need Scheduled Time (T_s), Standard Deviation (σ) & Probability Factor (Z). With our tool, you need to enter the respective value for Scheduled Time, Standard Deviation & Probability Factor and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Mean Time?

In this formula, Mean Time uses Scheduled Time, Standard Deviation & Probability Factor. We can use 1 other way(s) to calculate the same, which is/are as follows -

Mean Time = (Optimistic Time+(4*Most Likely Time)+Pessimistic Time)/6

Home

FREE PDFs

🔍 Search