3. Lactose intolerance causes difficulty digesting dairy products that contain lactose (milk sugar). It is particularly common among people of African and Asian ancestry. In the United States (ignoring other groups and people who consider themselves to belong to more than one race), 82% of the population is White, 14% is Black, and 4% is Asian. Moreover, 15% of Whites, 70% of Blacks, and 90% of Asians are lactose intolerant. (a) Draw a fully labeled probability tree for the problem. (b) What percentage of the entire population is lactose intolerant? (c) Given that a randomly chosen person is lactose intolerant, what is the prob- ability that the chosen person is White?
3. Lactose intolerance causes difficulty digesting dairy products that contain lactose (milk sugar). It is particularly common among people of African and Asian ancestry. In the United States (ignoring other groups and people who consider themselves to belong to more than one race), 82% of the population is White, 14% is Black, and 4% is Asian. Moreover, 15% of Whites, 70% of Blacks, and 90% of Asians are lactose intolerant. (a) Draw a fully labeled probability tree for the problem. (b) What percentage of the entire population is lactose intolerant? (c) Given that a randomly chosen person is lactose intolerant, what is the prob- ability that the chosen person is White?
A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Transcribed Image Text:3. Lactose intolerance causes difficulty digesting dairy products that contain
lactose (milk sugar). It is particularly common among people of African and
Asian ancestry. In the United States (ignoring other groups and people who
consider themselves to belong to more than one race), 82% of the population
is White, 14% is Black, and 4% is Asian. Moreover, 15% of Whites, 70% of
Blacks, and 90% of Asians are lactose intolerant.
(a) Draw a fully labeled probability tree for the problem.
(b) What percentage of the entire population is lactose intolerant?
(c) Given that a randomly chosen person is lactose intolerant, what is the prob-
ability that the chosen person is White?
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