Sharpening Your Skills In Exercises 21 – 26 , find, if possible, the number of elements in sets A , B , and C using the given information. If there is an inconsistency in the information, state where it occurs. A ⊂ B , A ∩ B = ∅ , n ( C − A ) = 8 , n ( A ∪ C ) = 12 , n ( C − B ) = 3 , n ( B ∪ C ) = 17.
Sharpening Your Skills In Exercises 21 – 26 , find, if possible, the number of elements in sets A , B , and C using the given information. If there is an inconsistency in the information, state where it occurs. A ⊂ B , A ∩ B = ∅ , n ( C − A ) = 8 , n ( A ∪ C ) = 12 , n ( C − B ) = 3 , n ( B ∪ C ) = 17.
Solution Summary: The author explains how to find the number of elements in A,B, and C, using the given information.
In Exercises 21 –26, find, if possible, the number of elements in sets
A
,
B
, and
C
using the given information. If there is an inconsistency in the information, state where it occurs.
A
⊂
B
,
A
∩
B
=
∅
,
n
(
C
−
A
)
=
8
,
n
(
A
∪
C
)
=
12
,
n
(
C
−
B
)
=
3
,
n
(
B
∪
C
)
=
17.
Do bonds reduce the overall risk of an investment portfolio? Let x be a random variable representing annual percent return for the Vanguard Total Stock Index (all Stocks). Let y be a random variable representing annual return for the Vanguard Balanced Index (60% stock and 40% bond). For the past several years, assume the following data. Compute the range for variable y.
X
12
0
36
21
35
23
24
-12
-12
-21
Y
10
-2
26
15
22
18
15
-2
-3
-10
Do bonds reduce the overall risk of an investment portfolio? Let x be a random variable representing annual percent return for the Vanguard Total Stock Index (all Stocks). Let y be a random variable representing annual return for the Vanguard Balanced Index (60% stock and 40% bond). For the past several years, assume the following data. Compute the range for variable x.
X
15
0
37
23
33
25
26
-15
-15
-23
Y
6
-1
28
18
24
17
18
-1
-2
-6
7.16. If the probability density of X is given by
g
kx³
for x>0
f(x) = (1+2x)6
0
10-01,
elsewhere
trolls inf
(
2X
density of the random variable Y =
where k is an appropriate constant, find the probability
1+2X
distribution of Y, and thus determine the value of k.
7
Identify the
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, subject and related others by exploring similar questions and additional content below.