5. Earthquakes Assume that Richter scale magnitudes of earthquakes are normally distributed with a mean of 1.184 and a standard deviation of 0.587. (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? (c) Find the 95th percentile. Will all carthquakes above the 95th percentile cause indoor items to shake? Proposed answer is 8.0420*10^-5 percent 3. Earthquakes Assume that Richter scale magnitudes of earthquakes are normally distributedwith a mean of 1.184 and a standard deviation of 0.587.(a) Earthquakes with magnitudes less than 2.000 are considered "micro-earthquakes" thatare not felt. What percentage of earthquakes fall into this category?(b) Earthquakes above 4.0 will cause indoor items to shake. What percentage of earthquakesfall into this category?(c) Find the 95th percentile. Will all earthquakes above the 95th percentile cause indooritems to shake?

Given that. X~N( μ , ?) μ=1.184 , ?=0.587 Z-score =( x - μ )/?

Answered: 1.184 and a standard deviation of…

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.5: Comparing Sets Of Data

Problem 13PPS

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5. Earthquakes Assume that Richter scale magnitudes of earthquakes are normally distributed with a mean of 1.184 and a standard deviation of 0.587. (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? (c) Find the 95th percentile. Will all carthquakes above the 95th percentile cause indoor items to shake? Proposed answer is 8.0420*10^-5 percent

3. Earthquakes 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?

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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