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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%
 one year ago
 one year 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%
 one year ago
 one year ago

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kropot72Best ResponseYou've already chosen the best response.1
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 ?
 one year ago

WolfboyBest ResponseYou've already chosen the best response.0
ehh i might need some help with that
 one year ago

kropot72Best ResponseYou've already chosen the best response.1
Have you got a calculator handy?
 one year ago

kropot72Best ResponseYou've already chosen the best response.1
Multiply 0.85 by 0.85. Then multiply the answer by 0.85. Then multiply that answer by 0.85. What do you get?
 one year ago

kropot72Best ResponseYou've already chosen the best response.1
Correct. To convert to a percentage multiply 0.52200625 by 100. Then choose the answer that is closest to the result.
 one year ago
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