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Optimistic Time when Standard Deviation is Known Solution

STEP 0: Pre-Calculation Summary
Formula Used
optimistic_time = -(6*Standard Deviation-Pessimistic time)
t0 = -(6*σ-tp)
This formula uses 2 Variables
Variables Used
Standard Deviation- The Standard Deviation is a measure of how spread out numbers are.
Pessimistic time - Pessimistic time is the longest time that activity could take if everything is wrong. (Measured in Day)
STEP 1: Convert Input(s) to Base Unit
Standard Deviation: 40.83 --> No Conversion Required
Pessimistic time: 365 Day --> 31536000 Second (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
t0 = -(6*σ-tp) --> -(6*40.83-31536000)
Evaluating ... ...
t0 = 31535755.02
STEP 3: Convert Result to Output's Unit
31535755.02 Second -->364.997164583333 Day (Check conversion here)
FINAL ANSWER
364.997164583333 Day <-- Optimistic time
(Calculation completed in 00.016 seconds)

11 Other formulas that you can solve using the same Inputs

Standard normal variation
standard_normal_variation = (Normal variate-Expected value)/Standard Deviation Go
PERT expected time
pert_expected_time = (Optimistic time+(4*Most likely time)+Pessimistic time)/6 Go
Standard error
residual_standard_error = Standard Deviation/sqrt(Number of samples) Go
Standard score
z_score = (value of n-Mean of data)/Standard Deviation Go
Z-Score
z_score = (Value of A-Mean of data)/Standard Deviation Go
Mean Using Z-Score
mean_of_data = Value of A-Z-score*Standard Deviation Go
Mean Using Coefficient Of Variation
mean_of_data = Standard Deviation/Coefficient of variation Go
Sample Coefficient Of Variation
coefficient_of_variation = Standard Deviation/Mean of data Go
Standard Deviation
standard_deviation = (Pessimistic time-Optimistic time)/6 Go
Variance
variance = ((Pessimistic time-Optimistic time)/6)^2 Go
Variance Of Data
variance = (Standard Deviation)^2 Go

1 Other formulas that calculate the same Output

Optimistic Time when Expected Time is Known
optimistic_time = (6*Mean time)-(4*Most likely time)-Pessimistic time Go

Optimistic Time when Standard Deviation is Known Formula

optimistic_time = -(6*Standard Deviation-Pessimistic time)
t0 = -(6*σ-tp)

What is Critical Path?

The time wise longest path is known as the Critical Path. Ay delay in this path will cause delay for the whole project or a critical path is the sequence of project network activities which add up to the longest overall duration, regardless if that longest duration has float or not.

How to Calculate Optimistic Time when Standard Deviation is Known?

Optimistic Time when Standard Deviation is Known calculator uses optimistic_time = -(6*Standard Deviation-Pessimistic time) to calculate the Optimistic time, The Optimistic Time when Standard Deviation is Known gives the minimum possible time to finish a project under most ideal conditions. . Optimistic time and is denoted by t0 symbol.

How to calculate Optimistic Time when Standard Deviation is Known using this online calculator? To use this online calculator for Optimistic Time when Standard Deviation is Known, enter Standard Deviation (σ) and Pessimistic time (tp) and hit the calculate button. Here is how the Optimistic Time when Standard Deviation is Known calculation can be explained with given input values -> 364.9972 = -(6*40.83-31536000).

FAQ

What is Optimistic Time when Standard Deviation is Known?
The Optimistic Time when Standard Deviation is Known gives the minimum possible time to finish a project under most ideal conditions. and is represented as t0 = -(6*σ-tp) or optimistic_time = -(6*Standard Deviation-Pessimistic time). The Standard Deviation is a measure of how spread out numbers are and Pessimistic time is the longest time that activity could take if everything is wrong.
How to calculate Optimistic Time when Standard Deviation is Known?
The Optimistic Time when Standard Deviation is Known gives the minimum possible time to finish a project under most ideal conditions. is calculated using optimistic_time = -(6*Standard Deviation-Pessimistic time). To calculate Optimistic Time when Standard Deviation is Known, you need Standard Deviation (σ) and Pessimistic time (tp). With our tool, you need to enter the respective value for Standard Deviation and Pessimistic time 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 Optimistic time?
In this formula, Optimistic time uses Standard Deviation and Pessimistic time. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • optimistic_time = (6*Mean time)-(4*Most likely time)-Pessimistic time
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