Homework SourseA poll was conducted among 250 residents of a certain city r
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?
| Own 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 |
Solution
a)
P(tougher) = 150/250 = 0.6 [answer]
***********
b)
P(handgun) = (48+24)/250 = 0.288 [answer]
*************
c)
P(handgun only) = 48/250 = 0.192 [answer]
*************
d)
P(tougher and no handgun) = (19+131)/250 = 0.6 [answer]
