Question

City
Atlanta
Positive Response to Program 1 Positive Response to Program 2
77.8%
82.1%
Boston
86.4%
86.6%
65.9%
Chicago
Dallas
87.5%
73.8%
80.9%
69.796
79.4%
78.4%
88.1%
Houston
Los Angeles
Miami
Newark
82.596
82.6%
81.496
83.3%
Total
68.89
81.7%
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?
ОА
68.896
OB.
69.796
OC.
79.496
OD
insufficient data

Answer 1

Answer:

The correct option is (B) 69.7%.

Step-by-step explanation:

The table provided represents the probabilities of a positive response to two government programs from citizens in eight cities.

The probabilities mentioned in the table are conditional probabilities, i.e. the probability of a positive response for program 1, given that the individual is from city x.

The probability a positive response for program 1 from an individual from Houston is 69.7%.

Then the conditional probability of a positive response for program 1, given that the individual is from Houston is 69.7%.

Thus, the correct option is (B).