Clayton is a 19-year-old college student. He avoids milk because he claims drinking the beverage upsets his stomach and gives him intestinal "gas." However, he can eat yogurt and certain types of cheese without experiencing any symptoms. Based on this information, Clayton probably has: a) lactose intolerance.
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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 The population of WI is almost 6 million people. Of them, about 7% are black. How many black people in WI do you expect to be lactose intolerant?
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Lactose intolerance causes difficulty digesting dairy products that contain lactose (milk sugar). It is particularly common among people of African or Asian ancestry. At a college, 70% of the population is white; 20% is black; and 10% is Asian. Moreover, 15% of whites, 70% of blacks, and 90% of Asians are lactose intolerant. Consider the (partially) completed tree diagram below: Probability .595 0.85 Tolerant White 0.15 Lactose Intolerant 0.70 (a) (c) Tolerant Black (d) Lactose Intolerant (b) (e) Tolerant Asian (f) Lactose Intolerant The probability that a random chosen student (regardless of race) is lactose intolerant is 0.105 0.140 0.090 0.335
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