Question
In: Statistics and Probability
A statistical program is recommended. Suppose that the magnitude of earthquakes recorded in a region of...
A statistical program is recommended.
Suppose that the magnitude of earthquakes recorded in a region of North America can be modeled as having a gamma distribution with α = 0.8 and β = 2.6.
(b) What is the probability that the magnitude of an earthquake striking the region will exceed 5 on the Richter scale? (Round your answer to four decimal places.)
(c) Using an exponential distribution with mean 2.6 to model the magnitude of an earthquake striking the region, the probability an earthquake will exceed a magnitude of 5 is 0.1462. Is this probability larger or smaller than the probability found in (b)? Explain.
Solutions
orchestra answered 1 year agoRelated Solutions
A statistical program is recommended. Spring is a peak time for selling houses. Suppose the data...
A statistical program is recommended.
Spring is a peak time for selling houses. Suppose the data below
contains the selling price, number of bathrooms, square footage,
and number of bedrooms of 26 homes sold in Ft. Thomas, Kentucky, in
spring 2018.
Selling Price
Baths
Sq Ft
Beds
160,000
1.5
1,786
3
170,000
2
1,768
3
178,000
1
1,219
3
182,500
1
1,578
2
195,100
1.5
1,125
4
212,500
2
1,196
2
245,900
2
2,128
3
250,000
3
1,280
3
255,000...
A statistical program is recommended. Spring is a peak time for selling houses. Suppose the data...
A statistical program is recommended.
Spring is a peak time for selling houses. Suppose the data below
contains the selling price, number of bathrooms, square footage,
and number of bedrooms of 26 homes sold in Ft. Thomas, Kentucky, in
spring 2018.
Selling Price
Baths
Sq Ft
Beds
160,000
1.5
1,786
3
170,000
2
1,768
3
178,000
1
1,219
3
182,500
1
1,578
2
195,100
1.5
1,125
4
212,500
2
1,196
2
245,900
2
2,128
3
250,000
3
1,280
3
255,000...
Suppose that in a certain region of California, earthquakes occur at the average rate of 7...
Suppose that in a certain region of California, earthquakes
occur at the average rate of 7 per year.
(a) What is the probability that in exactly three of the next
eight years, no earthquakes occur?
(b) What is the **expect**ed number of years to wait until we
have a year with exactly 7 earthquakes?
(c) In the next century, how many years would you **expect** to
see with more than 10 earthquakes?
Hint: When you see the word "expect" you...
A statistical program is recommended. A sample containing years to maturity and yield (%) for 40...
A statistical program is recommended.
A sample containing years to maturity and yield (%) for 40
corporate bonds is contained in the data file named
CorporateBonds.
Company Ticker
Years
Yield
GE
1
0.767
MS
1
1.816
WFC
1.25
0.797
TOTAL
1.75
1.378
TOTAL
3.25
1.748
GS
3.75
3.558
MS
4
4.413
JPM
4.25
2.31
C
4.75
3.332
RABOBK
4.75
2.805
TOTAL
5
2.069
MS
5
4.739
AXP
5
2.181
MTNA
5
4.366
BAC
5
3.699
VOD
5
1.855
SHBASS
5...
A statistical program is recommended. A marketing professor at Givens College is interested in the relationship...
A statistical program is recommended.
A marketing professor at Givens College is interested in the
relationship between hours spent studying and total points earned
in a course. Data collected on 10 students who took the course last
quarter follow.
Hours
Spent Studying
Total
Points Earned
45
40
30
35
90
75
60
65
105
90
65
50
90
90
80
80
55
45
75
65
(a)
Develop an estimated regression equation showing how total
points earned can be predicted from...
A statistical program is recommended. Consider the following data for a dependent variable y and two...
A statistical program is recommended.
Consider the following data for a dependent variable y
and two independent variables,
x1
and
x2.
x1
x2
y
30
12
94
47
10
108
25
17
112
51
16
178
40
5
94
51
19
175
74
7
170
36
12
117
59
13
142
76
16
211
(a)
Develop an estimated regression equation relating y
to
x1.
(Round your numerical values to one decimal place.)ŷ =
Predict y if
x1 = 43.
(Round...
A statistical program is recommended. Car manufacturers produced a variety of classic cars that continue to...
A statistical program is recommended.
Car manufacturers produced a variety of classic cars that
continue to increase in value. Suppose the following data is based
upon the Martin Rating System for Collectible Cars, and shows the
rarity rating (1–20) and the high price ($1,000) for 15 classic
cars.
Model
Rating
Price ($1,000)
A
18
1,575.0
B
14
37.0
C
15
52.5
D
18
1,000.0
E
13
95.0
F
19
1,275.0
G
19
2,675.0
H
17
375.0
I
16
325.0
J...
A statistical program is recommended. Data showing the values of several pitching statistics for a random...
A statistical program is recommended.
Data showing the values of several pitching statistics for a
random sample of 20 pitchers from the American League of Major
League Baseball is provided.
Player
Team
W
L
ERA
SO/IP
HR/IP
R/IP
Verlander, J
DET
24
5
2.40
1.00
0.10
0.29
Beckett, J
BOS
13
7
2.89
0.91
0.11
0.34
Wilson, C
TEX
16
7
2.94
0.92
0.07
0.40
Sabathia, C
NYY
19
8
3.00
0.97
0.07
0.37
Haren, D
LAA
16
10
3.17...
A statistical program is recommended. A highway department is studying the relationship between traffic flow and...
A statistical program is recommended.
A highway department is studying the relationship between
traffic flow and speed. The following model has been
hypothesized:
y = β0 +
β1x + ε
where
y = traffic flow in vehicles per hour
x = vehicle speed in miles per hour.
The following data were collected during rush hour for six
highways leading out of the city.
Traffic Flow
(y)
Vehicle Speed
(x)
1,257
35
1,331
40
1,225
30
1,337
45
1,349
50
1,126...
A statistical program is recommended. A highway department is studying the relationship between traffic flow and...
A statistical program is recommended.
A highway department is studying the relationship between
traffic flow and speed. The following model has been
hypothesized:
y = β0 +
β1x + ε
where
y = traffic flow in vehicles per hour
x = vehicle speed in miles per hour.
The following data were collected during rush hour for six
highways leading out of the city.
Traffic Flow
(y)
Vehicle Speed
(x)
1,256
35
1,328
40
1,228
30
1,337
45
1,349
50
1,122...
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