One of the major disasters that occur in Oregon are floods which occurs when it rains....

 

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One of the major disasters that occur in Oregon are floods which occurs when it rains. Oregon has classified events of rain in any city into three main categories: (1) Light Rain, (2) Moderate Rain, and (3) Heavy Rain. Based on historical data of Corvallis, on any given day during the months of October through April (e.g., the rain season), the chances of light, moderate, and heavy rain are 65%, 20%, and 5%, respectively. This indicates that there is 10% chance of no rain at all (for which of course there will be no chance of flooding). Furthermore, the data indicates that there is a 2%, 30%, and 95% chance of flooding on a day if the rain is light, moderate, or heavy, respectively. (a) What is the probability of flooding on any given day during the rain season in Corvallis? (6) ) What is the probability that within the first 10 days of the rain season that we observe mo than 2 days of flooding in Corvallis? (6) One of the major disasters that occur in Oregon are floods which occurs when it rains. Oregon has classified events of rain in any city into three main categories: (1) Light Rain, (2) Moderate Rain, and (3) Heavy Rain. Based on historical data of Corvallis, on any given day during the months of October through April (e.g., the rain season), the chances of light, moderate, and heavy rain are 65%, 20%, and 5%, respectively. This indicates that there is 10% chance of no rain at all (for which of course there will be no chance of flooding). Furthermore, the data indicates that there is a 2%, 30%, and 95% chance of flooding on a day if the rain is light, moderate, or heavy, respectively. (a) What is the probability of flooding on any given day during the rain season in Corvallis? (6) ) What is the probability that within the first 10 days of the rain season that we observe mo than 2 days of flooding in Corvallis? (6)