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(disapprove or no opinion)

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

Explanation:

Step1: Recall probability - or formula

For two events $A$ and $B$, $P(A\ or\ B)=P(A)+P(B)$ when $A$ and $B$ are mutually - exclusive. Here, the event of "Disapprove" and "No Opinion" are mutually - exclusive.

Step2: Identify relevant probabilities

From the table, $P(\text{Disapprove}) = 0.44$ and $P(\text{No Opinion})=0.14$.

Step3: Calculate the probability

$P(\text{Disapprove or No Opinion})=P(\text{Disapprove})+P(\text{No Opinion})=0.44 + 0.14$.
$P(\text{Disapprove or No Opinion})=0.58$

Answer:

$0.58$