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If the probability that the claim frequency is zero is 0.75, determine the variance of the claim frequency.
If the probability that the claim frequency is zero is 0.75, determine the variance of the claim frequency.


<ol style="list-style-type:upper-alpha">
<ul class="mw-excansopts">
<li>0.2475</li>
<li>0.2475</li>
<li>0.5123</li>
<li>0.5123</li>
Line 20: Line 20:
<li>0.8833</li>
<li>0.8833</li>
<li>1</li>
<li>1</li>
</ol>
</ul>

Latest revision as of 22:54, 16 March 2024

The joint distribution of claim frequency and claim severity, conditional on the claim frequency being positive, is given below:

Joint distribution
Claim Size
Claim Frequency
100 300 500 1000
1 0.25 0 0.2 0
2 0 0.37 0 0.18

If the probability that the claim frequency is zero is 0.75, determine the variance of the claim frequency.

  • 0.2475
  • 0.5123
  • 0.6625
  • 0.8833
  • 1