25. The U.S. Census Bureau provides data on the number of young adults, ages 18-

Question

25. The U.S. Census Bureau provides data on the number of young adults, ages 18-24, who are living in their parents' home. Let M the event a male young adult is living in his parents' home F the event a female young adult is living in her parents' home If we randomly select a male young adult and a female young adult, the Census Bureau data enable us to conclude P(M)-56 and P(F) 42 (The World Almanac, 2006). The probability that both are living in their parents' home is .24. What is the probability at least one of the two young adults selected is living in his or her parents' home? a. b. W hat is the probability both young adults selected are living on their own (neither is living in their parents' home)? The data include single young adults who are living in college dormitories because it is assuomed these young adults will return to their parents' home when school is not in session.

Explanation / Answer

a)P(at least one of the two young adult living in his or her parents home)=P(M U F)=P(M)+P(F)-P(both)

=0.56+0.42-0.24=0.74

b)

P(both are living on their own)=1-P(at leasy one living in his or her parents home)=1-0.74 =0.26

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