12 Let x1, X2, ..., Xn be a random sample from a gamma distribution with parameters a and B. If a is known, what is the method of moments estimator for B? For the instructor, this was question 5. O X x-bar X a X x-bar*a / x-bar/a X a/x-bar

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**Question 12**

Let \( x_1, x_2, \ldots, x_n \) be a random sample from a gamma distribution with parameters \( \alpha \) and \( \beta \). If \( \alpha \) is known, what is the method of moments estimator for \( \beta \)?

*For the instructor, this was question 5.*

- ⭕ \( \bar{x} \)
- ❌ \( \alpha \)
- ❌ \( \bar{x} \times \alpha \)
- ✅ \( \bar{x} / \alpha \)
- ❌ \( \alpha / \bar{x} \)
Transcribed Image Text:**Question 12** Let \( x_1, x_2, \ldots, x_n \) be a random sample from a gamma distribution with parameters \( \alpha \) and \( \beta \). If \( \alpha \) is known, what is the method of moments estimator for \( \beta \)? *For the instructor, this was question 5.* - ⭕ \( \bar{x} \) - ❌ \( \alpha \) - ❌ \( \bar{x} \times \alpha \) - ✅ \( \bar{x} / \alpha \) - ❌ \( \alpha / \bar{x} \)
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