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Tree diagrams can organize problems having more than two stages. A large study o

ID: 3073699 • Letter: T

Question

Tree diagrams can organize problems having more than two stages. A large study of children of Caucasian descent in Germany looked at the effect of eye color, hair color, and freckles on the reported extent of burning from sun exposure. The population's distribution of hair color, eye color, and freckles is given in the tree diagram.

(a) (blue eyes | red hair)=

P(blue eyes | red hair)=

(b) (freckles | red hair and blue eyes)=

P(freckles | red hair and blue eyes)=

round to 4 decimal places. pls show work

Freckles No Freckles Black . hair Brown 0.061 Brown. hair Brown 0.461 Caucasian child 0.453 Blonde. hair Brown 0.025 Brown

Explanation / Answer

a) P(blue eyes | red hair) = 0.4730

Value corresponding to blue eyes after the branch of red hair

b) P(freckles | red hair and blue eyes) = 0.8570

Value corresponding to freckles after the branch of red hair and blue eyes

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