Based on Data Set 16 in Appendix B, assume that Richter scale magnitudes of earthquakes are normally distributed with a mean of 1.184 and a standard deviation of 0.587.
a. Earthquakes with magnitudes less than 2.000 are considered “micro earthquakes” that are not felt. What percentage of earthquakes fall into this category?
b. Earthquakes above 4.0 will cause indoor items to shake. What percentage of earthquakes fall into this category?
c. Find the 95th percentile. Will all earthquakes above the 95th percentile cause indoor items to shake?