Question

A poll asked a sample of voters if manjuana should be legalized. Voters' responses and political party affiliation are in the table. Complete parts (a) through (®) below.Favor Legalization ofManjuadaPolitical AffiliationRepublicanDemocratIndependentTotalYesNo14113521574293132649341Total276289425990

Answer 1

The Solution to part (c):

Given:

Required:

To find the probability that a person selected at random is a republican or democrat.

By formula,

`Probability(an\text{ event\rparen= }\frac{number\text{ of required outcomes}}{number\text{ of possible outcomes}}`

So,

`P(a\text{ republican or a democrat\rparen}=P(a\text{ republican\rparen}+P(a\text{ democrat\rparen}`

In this case,

`P(a\text{ republican\rparen=}\frac{number\text{ of republican}}{Total\text{ number of voters}}=(276)/(990)`
`P(a\text{ democrat\rparen=}\frac{number\text{ of democrat}}{total\text{ number of voters}}=(289)/(990)`

So, the probability of selecting a republican or a democrat is

`P(a\text{ republican or a democrat\rparen}=(276)/(990)+(289)/(990)=(565)/(990)=0.5707\approx0.6`

Therefore, the correct answer is 0.6