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Mathematical Statistics with Applications | 7th Edition | ISBN: 9780495110811 | Authors: Dennis Wackerly; William Mendenhall; Richard L. Scheaffer
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Applet Exercise Refer to Exercise 4.88. Suppose that the

Chapter 4, Problem 101E

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QUESTION:

Problem 101E

Applet Exercise Refer to Exercise 4.88. Suppose that the magnitude of earthquakes striking the region has a gamma distribution with α = .8 and β = 2.4.

a What is the mean magnitude of earthquakes striking the region?

b What is the probability that the magnitude an earthquake striking the region will exceed 3.0 on the Richter scale?

c Compare your answers to Exercise 4.88(a). Which probability is larger? Explain.

d What is the probability that an earthquake striking the regions will fall between 2.0 and 3.0 on the Richter scale?

Reference

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.

Questions & Answers

QUESTION:

Problem 101E

Applet Exercise Refer to Exercise 4.88. Suppose that the magnitude of earthquakes striking the region has a gamma distribution with α = .8 and β = 2.4.

a What is the mean magnitude of earthquakes striking the region?

b What is the probability that the magnitude an earthquake striking the region will exceed 3.0 on the Richter scale?

c Compare your answers to Exercise 4.88(a). Which probability is larger? Explain.

d What is the probability that an earthquake striking the regions will fall between 2.0 and 3.0 on the Richter scale?

Reference

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: Objective

a

Find the mean magnitude of earthquakes striking the region?

b

The probability that the magnitude an earthquake striking the region will exceed

3.0 on the Richter scale.

c

Comparison of probability to Exercise 4.88(a).

d

The probability that an earthquake striking the regions will fall between 2.0 and 3.0

on the Richter scale, .

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