Question

the two - way relative frequency table shows the results of a survey on the mayors job approval. suppose a surveyor randomly selects a member of the sample population. use the table of relative frequencies to calculate each probability. express each probability as a decimal.
party affiliation

	republican	democrat	independent	total
	disapprove	0.22	0.1	0.12	0.44
	no opinion	0.03	0.07	0.04	0.14
total	0.39	0.42	0.19	1

sample problem
p(approve)
i can look at the value in the total column and approve row to determine p(approve).
0.42
p(democrat or independent)

enter the answer in the space provided. use numbers instead of words.

Explanation:

Step1: Recall probability formula for 'or' events

For mutually - exclusive events \(A\) and \(B\), \(P(A\ or\ B)=P(A)+P(B)\). Here, being a Democrat and being an Independent are mutually - exclusive party affiliations.

Step2: Identify relevant probabilities

From the table, \(P(\text{Democrat}) = 0.42\) and \(P(\text{Independent})=0.19\).

Step3: Calculate the probability

\(P(\text{Democrat or Independent})=P(\text{Democrat}) + P(\text{Independent})=0.42 + 0.19\).
\(0.42+0.19 = 0.61\)

Answer:

\(0.61\)