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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"> | ||
Revision as of 01:31, 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 the mean [math]\theta[/math].
- [100, 150]
- [300, 320]
- [475, 525]
- [1750, 2000]
- [2200, 2400]