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Astera Technology

Sum effort ranges without calling them a confidence interval

Calculate a bounded total under the stated possible combinations.

Work package range

All combinations of these bounds are permitted. The total is a range, without a probability or confidence percentage.

Work packages

Hours: 0–10000, at most two decimal places.

PackageLower hoursUpper hoursRemove

Default case shown. Editing requires JavaScript.

Permitted effort range
PackageLower hoursUpper hours
A24
B37
Total511

Plan from the supplied facts

Fictional components A and B require 2–4 and 3–7 hours. Every combination inside these stated bounds is permitted, and no probability is supplied. Summing endpoints gives total 5–11 hours. The range does not state an 80% or 95% chance.

Editable original planning example
ComponentMinimum hMaximum hProbability supplied
A24No
B37No
Total511No
Download editable CSV ↓

Work through the choice

Endpoint addition uses the allowed joint combinations. If A’s maximum and B’s maximum cannot coexist, the upper bound needs that joint rule rather than a silent assumption.

Add C at 1–2 hours, still allowing all combinations. What range follows?

Show the worked answer

6–13 hours: 2+3+1=6 and 4+7+2=13. No likelihood for a point inside that range follows from the bounds alone.

Material to use in your plan

Use minimum, maximum and co-occurrence assumptions per component. Label the result a permitted envelope and leave confidence percentages blank unless a probability model is separately supplied.

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