What is the main purpose of using Stirling’s formula in probability theory ?
2025
What is the main purpose of using Stirling’s formula in probability theory ?
- A.
To compute exact values of factorials
- B.
To estimate the approximate size of n factorials when n is large
- C.
To simplify integrals
- D.
To find the mean of a probability distribution
Attempted by 12 students.
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Correct answer: B
Stirling’s formula provides an asymptotic approximation for factorials, becoming accurate as n approaches infinity. In probability theory, it is primarily used to estimate the approximate size of large factorials where direct computation is impractical.