The table below represents the number of republicans, democrats and independent voting on a specific issue....
The table below represents the number of republicans, democrats and independent voting on a specific issue. A person from the group is randomly selected. What is the probability of
i. The person being a democrat.
ii. The person being against the issue.
iii. The person being against the issue OR being a republican.
iv. The person being not concerned and an independent.
| Republicans | Democrats | Independents | |
| FOR | 55 | 40 | 25 |
| AGAINST | 25 | 30 | 20 |
| NOT Concerned | 20 | 10 | 5 |
Homework Answers
Solution :
Total = 55 + 40 + 25 + 25 + 30 + 20 + 20 + 10 + 5 = 230
i)
P(The person being a democrat) = (40 + 30 + 10) / 230 = 80 / 230 = 0.3478
ii)
P(The person being against the issue) = (25 + 30 + 20) / 230 = 75 / 230 = 0.3261
iii)
P(The person being against the issue OR being a republican)
= (25 + 30 + 20) + (55 + 25 + 20) - 25 / 230
= 150 / 230
= 0.6521
Iv)
P(The person being not concerned and an independent) = 5 / 230 = 0.0217
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