exercise:0f3b1eb131: Difference between revisions
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Determine the standard deviation of <math>L</math> to the nearest integer. | Determine the standard deviation of <math>L</math> to the nearest integer. | ||
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<li>298</li> | <li>298</li> | ||
<li>1,088</li> | <li>1,088</li> | ||
| Line 24: | Line 24: | ||
<li>1,279</li> | <li>1,279</li> | ||
<li>1,565</li> | <li>1,565</li> | ||
</ | </ul> | ||
Latest revision as of 02:26, 18 March 2024
A loss variable [math]L[/math] has a density function that is proportional to
[[math]]
x^{\alpha -1}e^{-x/\theta}.
[[/math]]
The parameters [math]\theta [/math] and [math]\alpha [/math] are random with the following joint distribution
| [math]\alpha = 1 [/math] | [math]\alpha = 2[/math] | |
| [math]\theta = 500 [/math] | 0.25 | 0.35 |
| [math]\theta = 1000 [/math] | 0.15 | 0.25 |
Determine the standard deviation of [math]L[/math] to the nearest integer.
- 298
- 1,088
- 1,220
- 1,279
- 1,565