29. Earthquakes Based on Data Set 16 in Appendix B, assume that Richter scale m

Question

29. Earthquakes Based on Data Set 16 in Appendix B, assume that Richter scale m of earthquakes are normally distributed with a mean of 1.184 and a standard deviaton 0.587. agnitude a. Earthquakes with magnitues less than 2.000 are considered "microearthquakes" that ae not felt. What percentage of earthquakes fall into this category? b. Earthquakes above 4.0 will cause indoor iems to shake. What percentage of earhquakesfil into this category? c. Find the 95th percentile. Will llearthquakes above the 95th percentile cause indor iem to shake?

Explanation / Answer

a) probability of having earthquake less then magnitude 2 =P(X<2) =P(Z<(2-1.184)/0.587)=P(Z<1.3901)

=0.9178 ~ 91.78%

b) probability of having a earthquake of more then 4.0 magnitude P(X>4)=1-P(X<4)=1-P(Z<(4-1.184)/0.587)

=1-P(Z<4.7973)=1-0.999999 =0.000001 ~ 0.0001%

c) for 95th percentile ; z score =1.96

therefore corresponding magnitude of earthquake =mean+z*Std deviaiton =1.184+1.96*0.587=2.3345

please revert for any clarificaiton

Related Questions

Navigate

• Browse (All)
• Browse 2
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.