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Exercise


Apr 30'23

Answer

Solution: B

If E and F are independent, so are E and the complement of F. Then,

[[math]]\operatorname{P}(\textrm{exactly one}) = \operatorname{P}( E ∩ F^c ) + \operatorname{P}( E^c ∩ F ) = 0.84(0.35) + 0.16(0.65) = 0.398. [[/math]]

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

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