A poll was conducted among 250 residents of a certain city regarding tougher gun
ID: 3440448 • Letter: A
Question
A poll was conducted among 250 residents of a certain city regarding tougher gun-control laws. The results of the poll are shown in the table. (Enter your answers to three decimal places.)
(a) If one of the participants is selected at random, what is the probability that he or she favors tougher gun-control laws?
(b) If one of the participants is selected at random, what is the probability that he or she owns a handgun?
(c) If one of the participants is selected at random, what is the probability that he or she owns a handgun but not a rifle?
(d) If one of the participants is selected at random, what is the probability that he or she favors tougher gun-control laws and does not own a handgun?
Only a
Handgun Own
Only a
Rifle Own a
Handgun
and a Rifle Own
Neither Total Favor Tougher Laws 0 19 0 131 150 Oppose Tougher Laws 48 9 24 0 81 No Opinion 0 0 0 19 19 Total 48 28 24 150 250
Explanation / Answer
a)
P(tougher) = 150/250 = 0.6 [answer]
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b)
P(handgun) = (48+24)/250 = 0.288 [answer]
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c)
P(handgun only) = 48/250 = 0.192 [answer]
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d)
P(tougher and no handgun) = (19+131)/250 = 0.6 [answer]