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(Created page with " For a new light bulb, you are given: i) <math>{ }_{t} q_{0}=\frac{t^{2}+t}{72}</math> for <math>0 \leq t \leq 8</math> ii) <math>T_{0}</math> is the random variable representing the future lifetime Calculate <math>\operatorname{Var}\left[T_{0}\right]</math>. <ul class="mw-excansopts"><li> 3.9</li><li> 4.1</li><li> 4.3</li><li> 4.5</li><li> 4.7</li></ul>")
 
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<ul class="mw-excansopts"><li> 3.9</li><li> 4.1</li><li> 4.3</li><li> 4.5</li><li> 4.7</li></ul>
<ul class="mw-excansopts"><li> 3.9</li><li> 4.1</li><li> 4.3</li><li> 4.5</li><li> 4.7</li></ul>
{{soacopyright|2024}}

Latest revision as of 01:30, 18 January 2024

For a new light bulb, you are given:

i) [math]{ }_{t} q_{0}=\frac{t^{2}+t}{72}[/math] for [math]0 \leq t \leq 8[/math]

ii) [math]T_{0}[/math] is the random variable representing the future lifetime

Calculate [math]\operatorname{Var}\left[T_{0}\right][/math].

  • 3.9
  • 4.1
  • 4.3
  • 4.5
  • 4.7

Copyright 2024. The Society of Actuaries, Schaumburg, Illinois. Reproduced with permission.