Assume that the Richter scale magnitudes of earthquakes are normally distributed with a mean of 1.157 and a standard deviation of 0.532. Complete parts a through c below. Earthquakes with magnitudes less than 2.000 are considered "microearthquakes" that are not falt What

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Assume that the Richter scale magnitudes of earthquakes are normally distributed with a mean of 1.157 and a
standard deviation of 0.532. Complete parts a through c below.
a. Earthquakes with magnitudes less than 2.000 are considered "microearthquakes" that are not felt. What
percentage of earthquakes fall into this category?
94.35 %
(Round to two decimal places as needed.)
b. Earthquakes above 4.0 will cause indoor items to shake. What percentage of earthquakes fall into this category?
0%
(Round to two decimal places as needed.)
c. Find the 95th percentile.
(Round to three decimal places as needed.)
Transcribed Image Text:Assume that the Richter scale magnitudes of earthquakes are normally distributed with a mean of 1.157 and a standard deviation of 0.532. Complete parts a through c below. a. Earthquakes with magnitudes less than 2.000 are considered "microearthquakes" that are not felt. What percentage of earthquakes fall into this category? 94.35 % (Round to two decimal places as needed.) b. Earthquakes above 4.0 will cause indoor items to shake. What percentage of earthquakes fall into this category? 0% (Round to two decimal places as needed.) c. Find the 95th percentile. (Round to three decimal places as needed.)
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