From 1998 to 2012 (168 months), 29 earthquakes of magnitude 6.5 or higher occurred in Papua New Guinea. This data is used to help with future predictions and planning. The number of months between earthquakes of magnitude 6.5 or higher can be modeled by an exponential distribution
a) From the data, what is the expected number of months to wait between earthquakes? Round to 3 decimal places
b) If an earthquake has just occurred, find the probability the next earthquake occurs during the following 3 months.