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<li><math>2f(2y)</math></li>
<li><math>2f(2y)</math></li>
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{{soacopyright | 2023}}
{{soacopyright | 2023}}

Latest revision as of 17:36, 23 May 2023

The monthly profit of Company I can be modeled by a continuous random variable with density function [math]f[/math]. Company II has a monthly profit that is twice that of Company I. Let [math]g[/math] be the density function for the distribution of the monthly profit of Company II.

Determine [math]g(y)[/math] where it is not zero.

  • [math]\frac{1}{2}f(\frac{y}{2})[/math]
  • [math]f(\frac{y}{2})[/math]
  • [math]2f(\frac{y}{2})[/math]
  • [math]2f(y)[/math]
  • [math]2f(2y)[/math]

Copyright 2023. The Society of Actuaries, Schaumburg, Illinois. Reproduced with permission.