In a survey, 27%27\% of adults have an emergency fund and 14%14\% live in urban areas. Among adults who live in urban areas, 30%30\% have an emergency fund.Are the events "have an emergency fund" and "live in an urban area" independent? Justify your answer.

Not independent because P(fund∩urban)=0.042≠0.0378P(\text{fund}\cap\text{urban})=0.042 \neq 0.0378

Independent because P(fund)=0.27P(\text{fund})=0.27

Not independent because P(fund∣urban)=0.27P(\text{fund}\mid\text{urban})=0.27

Independent because P(fund∩urban)=0.0378P(\text{fund}\cap\text{urban})=0.0378

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Problem 59Multiple Choice

In a survey, $27 percent sign$ of adults have an emergency fund and $14 percent sign$ live in urban areas. Among adults who live in urban areas, $30 percent sign$ have an emergency fund.
Are the events "have an emergency fund" and "live in an urban area" independent? Justify your answer.

Not independent because $P of open paren fund intersection urban close paren equals 0.042 is not equal to 0.0378$

Independent because $P of open paren fund close paren equals 0.27$

Not independent because $P of open paren fund divides urban close paren equals 0.27$

Independent because $P of open paren fund intersection urban close paren equals 0.0378$

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