ay with probability 0.6. If it rains, it will be sunny the next day with probability 0.5. Answer the following questions: 1. What is the probability that it will rain the next day if it was sunny the previous day? 0.4 2. Suppose that the weatherman estimates there is a 90% chance of showers today. Find the probability vector representing this estimation where the state 1 is sunny and state 2 is rainy. [ 0.1 0.9 3. Based on the meteorologist's estimation, what is the chance of rain tomorrow? 4. Based on the meteorologist's estimation, What is the chance of rain two days from now?

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