Mathematics, 08.02.2021 19:00 flyingcerberus1408
The owner of an automobile insures it against damage by purchasing an insurance policy with a deductible of 250. In the event that the automobile is damaged, repair costs can be modeled by a uniform random variable on the interval (0, 1500). Determine the standard deviation of the insurance payment in the event that the automobile is damaged.
Answers: 1
![Var [I_{(x}) = E [I^2(x)] - [E(I(x)]^2](/tpl/images/1101/4846/3bf22.png)
![E[I(x)] = \int f_x(x) I (x) \ sx](/tpl/images/1101/4846/522a3.png)
![E[I(x)] = \dfrac{1}{1500} \int ^{1500}_{250{ (x- 250) \ dx](/tpl/images/1101/4846/1cc9a.png)
![E[I^2(x)] = \int f_x(x) I^2 (x) \ sx](/tpl/images/1101/4846/0016d.png)
![E[I(x)] = \dfrac{1}{1500} \int ^{1500}_{250{ (x- 250)^2 \ dx](/tpl/images/1101/4846/beb44.png)
![Var {I(x)} = 1250^2 \Big [ \dfrac{5}{18} - \dfrac{25}{144}]](/tpl/images/1101/4846/c9c93.png)
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The owner of an automobile insures it against damage by purchasing an insurance policy with a deduct...
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