hw4_418_10

# hw4_418_10 - 21. Let H denotes the event that husband earns...

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21. Let H denotes the event that husband earns more than 25000. W denotes the event that wife earns more than 25000. a) What we need to compute is p ( H C ) = 212+36 500 = 0 . 496; b) What we need to compute is p ( W | H ) = p ( WH ) p ( H ) = 54 / 500 1 - 0 . 496 = 3 14 ; c) What we need to compute is p ( W | H C ) = p ( WH C ) p ( H C ) = 36 / 500 1 - 0 . 496 = 9 62 . 26. Let M denotes the event that a person is male. Let F denotes the event that a person is female. Let C denotes a person is color blind. What given are p ( C | M ) = 0 . 05 , p ( C | F ) = 0 . 0025. a)Assume male and female are equally possible, what need to compute is p ( M | C ) = p ( MC ) p ( C ) = p ( C | M ) p ( M ) p ( C ) = 0 . 05 * 0 . 5 0 . 05 * 0 . 5+0 . 0025 * 0 . 5 = 20 21 b) Assume p ( M ) = 2 / 3, and p ( F ) = 1 / 3, then p ( M | C ) = p ( MC ) p ( C ) = p ( C | M ) p ( M ) p ( C ) = 0 . 05 * 2 / 3 0 . 05 * 2 / 3+0 . 0025 * 1 / 3 = 40 41 . two dice land on diﬀerent numbers, and B denotes the event that one lands on 6. So, what we need to compute is p ( B | A ). By formula, p ( B | A ) = p ( AB ) p ( A ) . p

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## This note was uploaded on 01/23/2011 for the course STAT 418 at Penn State.

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hw4_418_10 - 21. Let H denotes the event that husband earns...

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