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{{soacopyright | 2023}}
{{soacopyright | 2023}}
[[Category:soa_sample_p]]
[[Category:soa_sample]]

Latest revision as of 19:15, 21 March 2026

An actuary determines that the annual number of tornadoes in counties P and Q are jointly distributed as follows:

Q= 0 Q=1 Q=2 Q=3
P=0 0.12 0.06 0.05 0.02
P=1 0.13 0.15 0.12 0.03
P=2 0.05 0.15 0.10 0.02

Calculate the conditional variance of the annual number of tornadoes in county Q, given that there are no tornadoes in county P.

  • 0.51
  • 0.84
  • 0.88
  • 0.99
  • 1.76

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