Math Problem Statement

What is the probability that the project can be completed in 24 days or less? In 21 days or less?

Solution

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Math Problem Analysis

Mathematical Concepts

Probability
Statistics
Normal Distribution
Standard Deviation

Formulas

Expected time (TE) = (Optimistic + 4 × Most Likely + Pessimistic) ÷ 6
Standard Deviation (σ) = (Pessimistic - Optimistic) ÷ 6
Z-score = (X - μ) ÷ σ
Probability = Area under the normal curve

Theorems

Central Limit Theorem
Properties of the Normal Distribution

Suitable Grade Level

College/University Level