Answer Happy

Researchers in Germany examined the link between pigmentation (for example, hair color, eye color, freckles) and reaction to sun exposure. After examining the reaction to midday summer sun exposure for thousands of Caucasian children, they found the distribution shown in the table in their sample: Reaction type to sun (1) Always reddens, never tans (II) Always reddens, slight tan (III) Sometimes reddens, always tans (IV) Never reddens, always tans No freckles Freckles 79 73 581 367 1025 324 1022 135 To access the complete data set, click the link for your preferred software format: Excel Minitab JMP SPSS TI R Mac-TXT PC-TXT CSV Crunchlt! (a) Use the software of your choice to draw a tree diagram to show the possible outcomes for a Caucasian child in this study. Let's use the results of this study to describe a randomly chosen Caucasian child in Germany.
What is the probability that a child has type I reaction to sun exposure (always reddens, never tans)? (Enter your answer rounded to three decimal places.) P(type 1) = (c) What is the conditional probability that a child has type I reaction to sun exposure, knowing that this child has freckles? (Enter your answer rounded to three decimal places.) P(type 1 | freckles) What is the conditional probability that a child has freckles, knowing that this child has type I reaction to sun exposure? (Enter your answer rounded to two decimal places.) P(freckles | type 1) =