You are given the following: i) A loss occurrence in excess of $1 billion may be caused by a hurricane, an earthquake, or a re. ii) Hurricanes, earthquakes, and res occur independently of one another. iii) The number of hurricanes causing a loss occurrence in excess of $1 billion in a one-year period follows a Poisson distribution. The expected amount of time between such hurricanes is 2.0 years. iv) The number of earthquakes causing a loss occurrence in excess of $1 billion in a one-year period follows a Poisson distribution. The expected amount of time between such earthquakes is 5.0 years. v) The number of res causing a loss occurrence in excess of $1 billion in a one-year period follows a Poisson distribution. The expected amount of time between such res is 10.0 years. Determine the expected amount of time (in years) between loss occurrences in excess of $1 billion