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 disapprove)

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

Explanation:

Step1: Recall the formula for $P(A\ or\ B)$

$P(A\ or\ B)=P(A)+P(B)-P(A\ and\ B)$
Let $A$ be the event of being a Democrat and $B$ be the event of disapproving.

Step2: Find $P(\text{Democrat})$

From the table, $P(\text{Democrat}) = 0.42$.

Step3: Find $P(\text{disapprove})$

From the table, $P(\text{disapprove})=0.44$.

Step4: Find $P(\text{Democrat and disapprove})$

From the table, $P(\text{Democrat and disapprove}) = 0.1$.

Step5: Calculate $P(\text{Democrat or disapprove})$

$P(\text{Democrat or disapprove})=P(\text{Democrat})+P(\text{disapprove})-P(\text{Democrat and disapprove})=0.42 + 0.44- 0.1=0.76$

Answer:

$0.76$