a) P(red hair) = .025 b) P(blue eyes) = c) P(freckles) = d) P(freckles and red h

Question

a) P(red hair) = .025

b) P(blue eyes) =

c) P(freckles) =

d) P(freckles and red hair) =

e) P(freckles | red hair) =

0.143 0.857 0.182 0.818 0.018 0.982 0.278 0.722 0.232 0.768 Blue eyes Freckles No Freckles 0.030 Black. 0.047 Green . ir 8 Brown 0.923 eyes Blue eyes 0.061 0.259 0.327 Green Brown hair eyes 0.153 0.847 0.319 0.414 Brown eyes 0.461 Caucasian child Blue eyes 0.453 0.562 0.681 0.302 0.315 Green Blonde . eyes ir 0.698 0.164 Brown eyes 0.025 0.836 0.857 0.473 eyes 0.143 0.767 Red . 0.405 Green eyes 0.233 0.778 Brown eyes 0.222

Explanation / Answer

a) P(blue eyes) = 0.061*0.030 +   0.461*0.259   + 0.453*562 + 0.025*0.473 = 0.38764

b) P(freckles) =0.25288

d) P(freckles and red hair) =0.02027

e) P(freckles | red hair) = P(frecles and red hair) / P(red Hair) = 0.020273 / 0.025 = 0.81092

Hair eyes Freckles Product 0.061 0.03 0.143 0.000262 0.061 0.047 0.182 0.000522 0.061 0.923 0.018 0.001013 0.461 0.259 0.278 0.033193 0.461 0.327 0.232 0.034973 0.461 0.414 0.153 0.029201 0.453 0.562 0.319 0.081213 0.453 0.315 0.302 0.043094 0.453 0.123 0.164 0.009138 0.025 0.473 0.857 0.010134 0.025 0.405 0.767 0.007766 0.025 0.122 0.778 0.002373 Total: 0.252881

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