The probabilities of a positive response to two government programs from the citizens in eight cities are given in the table. City Positive Response for Program 1 Positive Response for Program 2 Atlanta 77.8% 82.1% Boston 86.4% 86.6% Chicago 65.9% 87.5% Dallas 73.8% 80.9% Houston 69.7% 79.4% Los Angeles 78.4% 88.1% Miami 82.5% 82.6% Newark 81.4% 83.3% Total 68.8% 81.7% What is the chance of a positive response for Program 2 given that the individual is from Los Angeles?

Question

Trey Butler

Mathematics

2 October, 18:16

The probabilities of a positive response to two government programs from the citizens in eight cities are given in the table. City Positive Response for Program 1 Positive Response for Program 2 Atlanta 77.8% 82.1% Boston 86.4% 86.6% Chicago 65.9% 87.5% Dallas 73.8% 80.9% Houston 69.7% 79.4% Los Angeles 78.4% 88.1% Miami 82.5% 82.6% Newark 81.4% 83.3% Total 68.8% 81.7% What is the chance of a positive response for Program 2 given that the individual is from Los Angeles?

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Lorenzo Frost · Answer 1

The following are the percentage of positive responses, with the first percentage relating to Program 1, and the second percentage related to Program 2.

Atlanta 77.8% 82.1%

Boston 86.4% 86.6%

Chicago 65.9% 87.5%

Dallas 73.8% 80.9%

Houston 69.7% 79.4%

Los Angeles 78.4% 88.1%

Miami 82.5% 82.6%

Newark 81.4% 83.3

Total 68.8% 81.7%

We want to know the probability of a positive response to Program 2 for an individual from Los Angeles.

Referring to the second percentage for Los Angeles, we find a value of 88.1%.

If a person from Los Angeles is selected at random, there is an 88.1% chance of a positive response.