Actuarial Notes

SOA Exam P Sample Question 514

Study guide: Exam P-1

On any given day, the number of available units, X, of a given commodity, and the market price per unit, Y, have joint probability function

p(x,y) = \begin{cases}
\dfrac{|y - 6x - 2|}{18}, & \text{for } x = 1, 2 \text{ and } y = 10, 12, 14 \\
0, & \text{otherwise.}
\end{cases}

Assume that all available units will sell at the market price per unit.

Calculate the expected revenue generated by the sale of all available units.

  • A) 140/9
  • B) 144/9
  • C) 150/9
  • D) 156/9
  • E) 162/9

Answer this question and see the worked solution

Concepts tested

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