Question 855271: I'm stuck on this. Any help would be appreciated. Thank you in advance.
Based on weather forecast, it is observed that 30% of the days of the year (maxium daily) temperature is less than 15°C.
Also, 10% of the days of the year, and rains and the temperature is less than 15°C.
i) Taking into consideration only the facts that they refer to the temperature that is less than 15°C, what is the percentage of the days that it was raining?
ii) If the percentage of the raining days of the year is 20%, then what's the probability that the temperature is less than 15°C in a raining day?
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Based on weather forecast, it is observed that 30% of the days of the year (maxium daily) temperature is less than 15°C.
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Also, 10% of the days of the year it rains and the temperature is less than 15°C.
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i) Taking into consideration only the facts that they refer to the temperature that is less than 15°C, what is the percentage of the days that it was raining?
Ans: P(rain | < 15 degrees) = P(rain ANS <15 deg)/P(15 deg) = 0.10/0.30 = 1/3
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ii) If the percentage of the raining days of the year is 20%, then what's the probability that the temperature is less than 15°C in a raining day?
P(<15 AND rainy) = 0.20*0.30 = 0.06
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Cheers,
Stan H.
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