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A newspaper did a survey of adults and found that 54% of the population as a whole favored stricter gun control laws. They broke down the results along gender lines and found that 65% of women favored stricter laws while only 44% of men favored them. If a person was selected at random, are the events of being a woman and being in favor of stricter gun control laws dependent or independent?

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Answer:

Step-by-step explanation:

Data Given:

the  survey of adults = 54% of the population as a whole favored stricter gun control laws

out of these 54% ;

the women gender lines =  65% favored stricter gun control laws

the men gender lines = 44 %  favored

Let the probability of women be:

[tex]\mathbf{\frac{n (A \ and \ W)}{n(W)} }[/tex]

and the probabilty of the men be:

[tex]\mathbf{\frac{n (A \ and \ M)}{n(M)} }[/tex]

If a person was selected at random, the event of being a woman and being favored of stricter gun control laws dependent is dependent because there is higher probability of favoring stricter laws for women than men.

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