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Wolfboy

  • 3 years ago

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%

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  1. kropot72
    • 3 years ago
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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. Wolfboy
    • 3 years ago
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    ehh i might need some help with that

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

  4. Wolfboy
    • 3 years ago
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    Yus

  5. Wolfboy
    • 3 years ago
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    *yes

  6. kropot72
    • 3 years ago
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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?

  7. Wolfboy
    • 3 years ago
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    .52200625

  8. kropot72
    • 3 years ago
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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.

  9. Wolfboy
    • 3 years ago
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    Tank you lots!

  10. kropot72
    • 3 years ago
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    You're welcome :)

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