an elected official surveyed residents of a town to assess their satisfaction with city services. the survey…

an elected official surveyed residents of a town to assess their satisfaction with city services. the survey includes both those who own and those who rent their homes. level of satisfaction high medium low total owners 26 34 18 78 renters 15 12 5 32 total 41 46 23 110 what is the probability that a resident reports high satisfaction, given that the resident is a renter? 13.7% 20.0% 36.6% 46.9%

an elected official surveyed residents of a town to assess their satisfaction with city services. the survey includes both those who own and those who rent their homes. level of satisfaction high medium low total owners 26 34 18 78 renters 15 12 5 32 total 41 46 23 110 what is the probability that a resident reports high satisfaction, given that the resident is a renter? 13.7% 20.0% 36.6% 46.9%

Answer

Answer:

B. 20.0%

Explanation:

Step1: Recall conditional - probability formula

$P(A|B)=\frac{P(A\cap B)}{P(B)}$. In terms of the table, if $A$ is the event of high - satisfaction and $B$ is the event of being a renter, then $P(A|B)=\frac{\text{Number of renters with high satisfaction}}{\text{Total number of renters}}$.

Step2: Identify relevant values from the table

The number of renters with high satisfaction is 15, and the total number of renters is 32.

Step3: Calculate the probability

$P=\frac{15}{75}= 0.2$ or 20.0%.