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Determine the mean <math>\theta</math>.
Determine the mean <math>\theta</math>.


<ol style="list-style-type:upper-alpha">
<ul class="mw-excansopts">
<li>[100, 150]</li>
<li>[100, 150]</li>
<li>[300, 320]</li>
<li>[300, 320]</li>
Line 13: Line 13:
<li>[1750, 2000]</li>
<li>[1750, 2000]</li>
<li>[2200, 2400]</li>
<li>[2200, 2400]</li>
</ol>
</ul>

Revision as of 21:33, 17 March 2024

Losses are assumed to have an exponential distribution with unknown mean [math]\theta[/math]. Ten policies have a deductible of $500 and the total number of payments for the ten policies has the moment generating function

[[math]] (0.2 + 0.8e^t)^{10} [[/math]]

Determine the mean [math]\theta[/math].

  • [100, 150]
  • [300, 320]
  • [475, 525]
  • [1750, 2000]
  • [2200, 2400]