Question

The probabilities of a positive response to two government programs from citizens in eight cities are given in the table. What is the chance of a positive response for program 1, given that the individual is from Houston?
A. 68.8%
B. 69.7%
C. 79.4%
D. insufficient data

Answer 1

Using conditional probability, and considering that the percentage of individuals from Houston is not given, it is found that the correct option is given by:

• D. insufficient data

Conditional Probability

$P(B|A) = \frac{P(A \cap B)}{P(A)}$

In which

• P(B|A) is the probability of event B happening, given that A happened.

• $P(A \cap B)$ is the probability of both A and B happening.

• P(A) is the probability of A happening.

In this problem, the events are:

• Event A: Individual from Houston.

• Event B: Positive response for program 1.

From Houston, 69.7% of people have positive responses for program 1, hence $P(A \cap B) = 0.697$.

However, to find the conditional probability, the percentage of people surveyed from Houston is needed, and this probability is not given, hence, the is insufficient data, and option D is correct.

To learn more about conditional probability, you can take a look at brainly.com/question/25908281