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Wolfboy Group Title

A local weather forecaster is accurate 85% of the time when predicting precipitation for the day. What is the probability that she will make correct precipitation predictions 4 days in a row? about 54% about 53% about 52% about 47%

  • 2 years ago
  • 2 years ago

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  1. kropot72 Group Title
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    The probability of being correct on one day is 0.85. The forecast for each day is separate and independent of the other daily forecasts. Therefore the compound event, correct predictions 4 days in a row, is the product of the separate probabilities of being correct for each of the 4 days. P(correct 4 days) = 0.85 * 0.85 * 0.85 * 0.85. Can you calculate the probability and convert to a percentage ?

    • 2 years ago
  2. Wolfboy Group Title
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    ehh i might need some help with that

    • 2 years ago
  3. kropot72 Group Title
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    Have you got a calculator handy?

    • 2 years ago
  4. Wolfboy Group Title
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    Yus

    • 2 years ago
  5. Wolfboy Group Title
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    *yes

    • 2 years ago
  6. kropot72 Group Title
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    Multiply 0.85 by 0.85. Then multiply the answer by 0.85. Then multiply that answer by 0.85. What do you get?

    • 2 years ago
  7. Wolfboy Group Title
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    .52200625

    • 2 years ago
  8. kropot72 Group Title
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    Correct. To convert to a percentage multiply 0.52200625 by 100. Then choose the answer that is closest to the result.

    • 2 years ago
  9. Wolfboy Group Title
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    Tank you lots!

    • 2 years ago
  10. kropot72 Group Title
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    You're welcome :)

    • 2 years ago
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