Do bonds reduce the overall risk of an investment portfolio? Let x be a random variable representing annual percent return for Vanguard Total Stock Index (all stocks). Let y be a random variable representing annual return for Vanguard Balanced Index (60% stock and 40% bond). For the past several years, we have the following data. (a) Compute Ex, Σx2, Σy, Σγ2. Ex 87 Ey 106 x 8.70 x: 20 0 11 23 38 22 21 -19 -14 -15 y: 24 -10 8 24 25 20 27 -1 -4 -7 s² (b) Use the results of part (a) to compute the sample mean, variance, and standard deviation for x and for y. (Round your answers to four decimal places.) X y S ✔ Ex² 5059 ✔ Ey² Lower Limit Upper Limit ✓ 10.60 X (c) Compute a 75% Chebyshev interval around the mean for x values and also for y values. (Round your answers to two decimal places.) y X Use the intervals to compare the two funds. O 75% of the returns for the balanced fund fall within a narrower range than those of the stock fund. O 75% of the returns for the stock fund fall within a narrower range than those of the balanced fund. O25% of the returns for the balanced fund fall within a narrower range than those of the stock fund. O 25% of the returns for the stock fund fall within a wider range than those of the balanced fund.

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B✰ #
Do bonds reduce the overall risk of an investment portfolio? Let x be a random variable representing annual percent return for Vanguard Total Stock Index (all stocks). Let y be a random
variable representing annual return for Vanguard Balanced Index (60% stock and 40% bond). For the past several years, we have the following data.
y: 24 -10 8
(a) Compute Ex, Σx2, Σy, Σy2.
Ex 87
2y 106
IX N
T
Lower Limit
Upper Limit
23 38 22 21 -19 -14 -15
24 25 20 27 -1
-4
-4
-7
Σχ2 5059
Σy2
X
(b) Use the results of part (a) to compute the sample mean, variance, and standard deviation for x and for y. (Round your answers to four decimal places.)
y
My Apps Dashboard | Atlant X Hb Lessons - MATH1127: Introd X
10.60
X
(c) Compute a 75% Chebyshev interval around the mean for x values and also for y values. (Round your answers to two decimal places.)
Y
Use the intervals to compare the two funds.
O 75% of the returns for the balanced fund fall within a narrower range than those of the stock fund.
75% of the returns for the stock fund fall within a narrower range than those of the balanced fund.
25% of the returns for the balanced fund fall within a narrower range than those of the stock fund.
25% of the returns for the stock fund fall within a wider range than those of the balanced fund.
Q Search
H
Section 3.2 Measures of Var % +
hp
20
99+
W
Paused
10:24 A
2/12/20
Transcribed Image Text:• InboxDollars: Make Extra M 53°F Cloudy Free Paraphrasing For All La O webassign.net/web/Student/Assignment-Responses/submit?dep=30747023&tags=autosave#Q6 B✰ # Do bonds reduce the overall risk of an investment portfolio? Let x be a random variable representing annual percent return for Vanguard Total Stock Index (all stocks). Let y be a random variable representing annual return for Vanguard Balanced Index (60% stock and 40% bond). For the past several years, we have the following data. y: 24 -10 8 (a) Compute Ex, Σx2, Σy, Σy2. Ex 87 2y 106 IX N T Lower Limit Upper Limit 23 38 22 21 -19 -14 -15 24 25 20 27 -1 -4 -4 -7 Σχ2 5059 Σy2 X (b) Use the results of part (a) to compute the sample mean, variance, and standard deviation for x and for y. (Round your answers to four decimal places.) y My Apps Dashboard | Atlant X Hb Lessons - MATH1127: Introd X 10.60 X (c) Compute a 75% Chebyshev interval around the mean for x values and also for y values. (Round your answers to two decimal places.) Y Use the intervals to compare the two funds. O 75% of the returns for the balanced fund fall within a narrower range than those of the stock fund. 75% of the returns for the stock fund fall within a narrower range than those of the balanced fund. 25% of the returns for the balanced fund fall within a narrower range than those of the stock fund. 25% of the returns for the stock fund fall within a wider range than those of the balanced fund. Q Search H Section 3.2 Measures of Var % + hp 20 99+ W Paused 10:24 A 2/12/20
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