Assume that in a location in southern California, Richter scale magnitudes of earthquakes are normally distributed with a mean of = 4.644 and a standard deviation = 0.865

1. Earthquakes with magnitude above 4.0 will cause indoor items to shake. Find P(x > 4.0), the probability that an earthquake in this region has a magnitude above 4.0 on the Richter scale.

2. Earthquakes with magnitude between 5.5 and 5.9 are considered moderate and will cause slight damage. Find P(5.5 < x < 5.9), the probability that an earthquake in this region has a magnitude between 5.5 and 5.9 on the Richter scale.

3. Earthquakes with magnitude between 6.0 and 6.9 are considered strong and will cause a lot of damage to buildings and structures. Find P(6.0 < x < 6.9), the probability that an earthquake in this region has a magnitude between 6.0 and 6.9 on the Richter scale.

4. Earthquakes with magnitude above 7.0 are considered major and will cause serious damage to buildings and structures. Find P(x > 7.0). the probability that an earthquake in this region has a magnitude above 7 on the Richter scale.