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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

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 Respon class=

Sagot :

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

[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

Answer:

D. Insufficient data

Step-by-step explanation:

I got this right on my test, Plato / edmentum

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