exercise:6268d0f2e2: Difference between revisions

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Line 5: Line 5:
*<math>\operatorname{P}(L \leq b) =0.8</math>
*<math>\operatorname{P}(L \leq b) =0.8</math>


Determine the variance of the loss when a limit of <math>b</math> is applied.
Determine the variance of the payment when a limit of <math>b</math> is applied.


<ol style="list-style-type:upper-alpha">
<ul class="mw-excansopts">
<li>25,276</li>
<li>25,276</li>
<li>25,279</li>
<li>25,279</li>
Line 13: Line 13:
<li>32,003</li>
<li>32,003</li>
<li>32,103</li>
<li>32,103</li>
</ol>
</ul>

Latest revision as of 09:19, 3 July 2024

For a constant [math]b = 400[/math], you are given the following about a loss [math]L[/math]:

  • [math]\operatorname{E}[L^2 \cdot 1_{L \leq b} ] = 3[/math]
  • [math]\operatorname{E}[L \cdot 1_{L \leq b} ] = 2[/math]
  • [math]\operatorname{P}(L \leq b) =0.8[/math]

Determine the variance of the payment when a limit of [math]b[/math] is applied.

  • 25,276
  • 25,279
  • 25,603
  • 32,003
  • 32,103