the two - way relative frequency table shows the results of a survey on the mayors job approval. suppose a…

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.\n\nparty affiliation\n| |republican|democrat|independent|total|\n|--|--|--|--|--|\n|approve|0.14|0.25|0.03|0.42|\n|disapprove|0.22|0.1|0.12|0.44|\n|no opinion|0.03|0.07|0.04|0.14|\n|total|0.39|0.42|0.19|1|\n\nsample problem\np(approve)\ni can look at the value in the total column and approve row to determine p(approve).\n0.42\np(democrat or disapprove)\n> enter the answer in the space provided. use numbers instead of words.

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.\n\nparty affiliation\n| |republican|democrat|independent|total|\n|--|--|--|--|--|\n|approve|0.14|0.25|0.03|0.42|\n|disapprove|0.22|0.1|0.12|0.44|\n|no opinion|0.03|0.07|0.04|0.14|\n|total|0.39|0.42|0.19|1|\n\nsample problem\np(approve)\ni can look at the value in the total column and approve row to determine p(approve).\n0.42\np(democrat or disapprove)\n> enter the answer in the space provided. use numbers instead of words.

Answer

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:

$0.76$