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Optimistic Time given Standard Deviation Formula

GoOptimistic Time given Expected Time Formula

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Optimistic Time is the shortest possible time to complete the activity if all goes well. Check FAQs

t 0 = - (6 \cdot σ - t p)

t₀ - Optimistic Time?σ - Standard Deviation?t_p - Pessimistic Time?

Optimistic Time given Standard Deviation Example

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With units

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Here is how the Optimistic Time given Standard Deviation equation looks like with Values.

Here is how the Optimistic Time given Standard Deviation equation looks like with Units.

Here is how the Optimistic Time given Standard Deviation equation looks like.

2.02 = - (6 \cdot 1.33 - 10)

2.02d = - (6 \cdot 1.33 - 10d)

2.02 = - (6 \cdot 1.33 - 10)

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Optimistic Time given Standard Deviation Solution

Follow our step by step solution on how to calculate Optimistic Time given Standard Deviation?

FIRST Step Consider the formula

t 0 = - (6 \cdot σ - t p)

Next Step Substitute values of Variables

∴

t 0 = - (6 \cdot 1.33 - 10d)

Next Step Prepare to Evaluate

∴

t 0 = - (6 \cdot 1.33 - 10)

Next Step Evaluate

∴

t 0 = 174528s

LAST Step Convert to Output's Unit

∴

t 0 = 2.02d

Optimistic Time given Standard Deviation Formula Elements

Variables

Optimistic Time

Optimistic Time is the shortest possible time to complete the activity if all goes well.

Symbol: t₀

Measurement: TimeUnit: d

Note: Value should be greater than 0.

Formulas to find Optimistic Time

Standard Deviation

The Standard Deviation is a measure of how spread out numbers are.

Symbol: σ

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Standard Deviation

Pessimistic Time

A Pessimistic Time is the longest time that an activity could take if everything is wrong.

Symbol: t_p

Measurement: TimeUnit: d

Note: Value should be greater than 0.

Formulas to find Pessimistic Time

Other Formulas to find Optimistic Time

Go Optimistic Time given Expected Time

t 0 = (6 \cdot t e) - (4 \cdot t m) - t p

Other formulas in Project Evaluation and Review Technique category

Go Mean or Expected Time

t e = \frac{t 0 + (4 \cdot t m) + t p}{6}

Go Pessimistic Time given Expected Time

t p = 6 \cdot t e - t 0 - 4 \cdot t m

Go Most Likely Time given Expected Time

t m = \frac{6 \cdot t e - t 0 - t p}{4}

Go Standard Deviation of Activity

σ = \frac{t p - t 0}{6}

How to Evaluate Optimistic Time given Standard Deviation?

Optimistic Time given Standard Deviation evaluator uses Optimistic Time = -(6*Standard Deviation-Pessimistic Time) to evaluate the Optimistic Time, The Optimistic Time given Standard Deviation formula is defined as it gives the minimum possible time to finish the project under most ideal conditions. Optimistic Time is denoted by t₀ symbol.

How to evaluate Optimistic Time given Standard Deviation using this online evaluator? To use this online evaluator for Optimistic Time given Standard Deviation, enter Standard Deviation (σ) & Pessimistic Time (t_p) and hit the calculate button.

FAQs on Optimistic Time given Standard Deviation

What is the formula to find Optimistic Time given Standard Deviation?

The formula of Optimistic Time given Standard Deviation is expressed as Optimistic Time = -(6*Standard Deviation-Pessimistic Time). Here is an example- 2.3E-5 = -(6*1.33-864000).

How to calculate Optimistic Time given Standard Deviation?

With Standard Deviation (σ) & Pessimistic Time (t_p) we can find Optimistic Time given Standard Deviation using the formula - Optimistic Time = -(6*Standard Deviation-Pessimistic Time).

What are the other ways to Calculate Optimistic Time?

Here are the different ways to Calculate Optimistic Time-

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

Can the Optimistic Time given Standard Deviation be negative?

No, the Optimistic Time given Standard Deviation, measured in Time cannot be negative.

Which unit is used to measure Optimistic Time given Standard Deviation?

Optimistic Time given Standard Deviation is usually measured using the Day[d] for Time. Second[d], Millisecond[d], Microsecond[d] are the few other units in which Optimistic Time given Standard Deviation can be measured.

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Optimistic Time given Standard Deviation Formula

​GoOptimistic Time given Expected Time Formula

Optimistic Time given Standard Deviation Example

Optimistic Time given Standard Deviation Solution

Optimistic Time given Standard Deviation Formula Elements

Other Formulas to find Optimistic Time

Other formulas in Project Evaluation and Review Technique category

How to Evaluate Optimistic Time given Standard Deviation?

FAQs on Optimistic Time given Standard Deviation

Variable Name

GoOptimistic Time given Expected Time Formula