Question: 1.Problem 8.1 Every evening, two weather stations issue a weather forecast for the next day. The weather forecasts of the two stations are independent of

1.Problem 8.1 Every evening, two weather stations issue a weather forecast for the next day. The weather forecasts of the two stations are independent of each other. On average, the weather forecast of station 1 is correct in 90% of the cases, irrespective of the weather type. This percentage is 80% for station 2. On a given day, station 1 predicts sunny weather for the next day, whereas station 2 predicts rain. What is the probability that the weather forecast of station 1 will be correct?

246 Conditional probability and Bayes

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