Problem 4: Historical daily rainfall data for a city indicates the following: Probability of a rainy day is 30% Probability of a rainy day followed by another rainy day is 50% Probability of two consecutive rainy days followed by a third rainy day is 20%. = = A house is scheduled for painting starting on Friday for a period of 3 days. Define event E - Friday is a rainy day, E2 = Saturday is a rainy day, and E3 Sunday is a rainy day. (a) What is the probability that it will rain on both Friday and Saturday? (b) What is the probability that Sunday will be the only dry day during the paint period? (c) What is the probability that there will be at least one rainy day during 3-day painting period?