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A poll is given, showing 65% are in favor of a new building project. If 4 people are chosen at random, what is the probability that exactly 3 of them favor the new building project? Preview

Respuesta :

Edufirst

Answer:

  • 0.38

Explanation:

When 4 people are chosen at random, the probability that exactly 3 of them favor the new building project may be thought as four cases:

- the first one is against and the other three are in favor

- the second one is against and the other three are in favor

- the third one is against and the other three are in favor

- the fourth one is against and the other three are in favor.

Each one of those probabilities are equal to:

  • (0.35)         ×      (0.65)³ = 0.09611875

          ↑                          ↑

      one against          three in favor

Since, there are four equal results: 4 × 0.09611875 = 0.384475

Rounded to 2 significant digits that is 0.38.

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