Actuarial Notes

SOA Exam P Sample Question 638

Study guide: Exam P-1

A gardener models his strawberry (S) / blueberry (B) harvest with the following joint probability distribution.

S \ B 1 2 3 4 5
1 0.07 0.06 0.06 0.05 0.01
2 0.07 0.10 0.08 0.05 0.03
3 0.04 0.05 0.06 0.05 0.04
4 0.01 0.02 0.02 0.07 0.06

The strawberry harvest is 2 units.

Calculate the conditional variance of the blueberry harvest.

  • A) 1.23
  • B) 1.51
  • C) 2.00
  • D) 2.46
  • E) 6.06

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