Bayes Theorem #1: Julie is getting married tomorrow, in the desert at an outdoor ceremony. It usually only rains 8 days each year. Unfortunately, rain is predicted for tomorrow by the local weatherman. When it does rains, the weatherman correctly forecasts rain 92% of the time. When it doesn't rain, he incorrectly forecasts rain 14% of the time. What is the probability that on the day of Julie's wedding it will rain? Provide your answer to three significant digits. *