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:
Conditional Probability
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
- P(B|A) is the probability of event B happening, given that A happened.
- [tex]P(A \cap B)[/tex] 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 [tex]P(A \cap B) = 0.697[/tex].
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 https://brainly.com/question/25908281
