exercise:9697472188: Difference between revisions
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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 | 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 non-zero payments for the ten policies has the moment generating function | ||
<math display = "block"> | <math display = "block"> | ||
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</math> | </math> | ||
Determine the mean <math>\theta</math>. | Determine which interval contains the mean <math>\theta</math>. | ||
< | <ul class="mw-excansopts"> | ||
<li>[100, 150]</li> | <li>[100, 150]</li> | ||
<li>[300, 320]</li> | <li>[300, 320]</li> | ||
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<li>[1750, 2000]</li> | <li>[1750, 2000]</li> | ||
<li>[2200, 2400]</li> | <li>[2200, 2400]</li> | ||
</ | </ul> | ||
Latest revision as of 01:32, 5 July 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 non-zero payments for the ten policies has the moment generating function
[[math]]
(0.2 + 0.8e^t)^{10}
[[/math]]
Determine which interval contains the mean [math]\theta[/math].
- [100, 150]
- [300, 320]
- [475, 525]
- [1750, 2000]
- [2200, 2400]