In a city, the probability that it will rain on a certain day is 0.8 if it rained the day before. The probability that it will be dry on a certain day is 0.3 if it was dry the day before. It rains on Sunday. The random digits below simulate the weather for the rest of the week. (The first digit is Monday, the second is Tuesday, and so on.)
Random Digits: 814485
(The digits 0 through 7 represent a day being rainy when the previous day was rainy. The digits 0 through 2 represent a day being dry when the previous day was dry.)
1. According to the digits, will Monday be rainy or dry?
2. Given the weather on Monday, will Tuesday be rainy or dry?
3. Given the weather on Tuesday, will Wednesday be rainy or dry?
4. Given the weather on Wednesday, will Thursday be rainy or dry?