SOLUTION: A breeder records probablities for two variables in a population of animals using the two-way table given here. Given that animal is brown-haired what is the probability that that

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Question 849971: A breeder records probablities for two variables in a population of animals using the two-way table given here. Given that animal is brown-haired what is the probability that that its short haired?
Short haired 0.06 brown haired, 0.23 blond
Shaggy 0.51 Brown haired, Blond 0.20
A. 0.105
b. 0.0306
c. 0.222
d. 0.06

Answer by stanbon(75887) About Me  (Show Source):
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A breeder records probablities for two variables in a population of animals using the two-way table given here. Given that animal is brown-haired what is the probability that that its short haired?
Short haired:: 0.06 brown haired Blond 0.23
Shaggy:::::::: 0.51 Brown haired, Blond 0.20
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P(short haired | brown haired)
= P(sh AND bh)/P(bh)
= 0.06/(0.06+0.51)
= 0.1071
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Cheers,
Stan H.
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A. 0.105
b. 0.0306
c. 0.222
d. 0.06