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The magnitude of earthquakes recorded in a region of North
Chapter 4, Problem 88E(choose chapter or problem)
The magnitude of earthquakes recorded in a region of North America can be modeled as having an exponential distribution with mean 2.4, as measured on the Richter scale. Find the probability that an earthquake striking this region will
a. exceed 3.0 on the Richter scale.
b. fall between 2.0 and 3.0 on the Richter scale.
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QUESTION:
The magnitude of earthquakes recorded in a region of North America can be modeled as having an exponential distribution with mean 2.4, as measured on the Richter scale. Find the probability that an earthquake striking this region will
a. exceed 3.0 on the Richter scale.
b. fall between 2.0 and 3.0 on the Richter scale.
ANSWER:Step 1 of 4: Goal
Find the probability of striking an earthquake that will
a. exceed 3.0 on the Richter scale
b. fall between 2.0 and 3.0 on the Richter scale.
Atep 2 of 4: Given
The population of magnitude of earthquake, \(Y\) has exponential distribution.
The density function \(f(y)=\frac{1}{\beta} e^{(-y / \beta)}\)
Population mean, \(\mu=2.4\)
a. Probability of magnitude of earthquake greater than random variable, \(Y=3.0\)
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Review this written solution for 31754) viewed: 331 isbn: 9780495110811 | Mathematical Statistics With Applications - 7 Edition - Chapter 4 - Problem 88e
Thank you for your recent purchase on StudySoup. We invite you to provide a review below, and help us create a better product.
No thanks, I don't want to help other students