In 2003-2011 there are on average 75 days of rain per year. Assume that a year has 365 days, ignore leap years, and that a rainy day occurs randomly and is independent.
a. What is the probability of having two or more rainy days in a 7 day week?
b. In a random week it does not rain on Monday-Friday but does rain on saturday. What is the probability of this event occurring.
c. What is the probability that it will require exactly 10 days for the third day of rain to occur?
d. Considering a 10 week span, what is the probability that greater than 2 weeks have two or more raining days each? Assume each week is an independent event.