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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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Answer:

If its asking for Houston instead its, 69.7%.

Step-by-step explanation:

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22 out of 25 individuals in Los Angeles will respond positively to Program 2.

Probabilities

Given that the probabilities of a positive response to two government programs from the citizens in Los Angeles are 78.4% for Program 1 and 88.1% for Program 2, to determine what is the chance of a positive response for Program 2 given that the individual is from Los Angeles, the following calculation must be made:

  • 88.1 / 100 = X
  • 44.05 / 50 = X
  • 22,025 / 25 = X

Therefore, 22 out of 25 individuals in Los Angeles will respond positively to Program 2.

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