stodsl. Let ybe a random va portlslo? Let r be a random variable representing an
ID: 3304836 • Letter: S
Question
stodsl. Let ybe a random va portlslo? Let r be a random variable representing annual percent retun for Vangund Totae sonral years, wo have tolmsm represereng mual "turn for vanguard Balanced Index CO0% stock and 40% bond). For the x 14932 417 33 29 -24 -24 11 (a) Compute tbr, t. ty, Ty b) Use the results of part (a) to compute the sample mean, vartance, and standard derviation for x and for yRound your answers to eo decnal (c)Carot..5%dbytee itrval around the man, for ndues and also formas(Rand you aseen to two aons ) Lower Limit Use the inbervals to compare the two funds af the stock fund the stock fund fall thone of the balanced fund o the talanced tund the two funds has lower ria he funds harExplanation / Answer
Solution:
a)
x
y
x2
y2
1
9
1
81
0
-1
0
1
12
8
144
64
14
17
196
289
17
23
289
529
33
9
1089
81
29
15
841
225
-24
-6
576
36
-24
-5
576
25
-11
-4
121
16
Total
47
65
3833
1347
Sum of x = 47 Sum of x2 = 3833
Sum of y = 65 Sum of y2 = 1347
b)We find all values using excel,
x
y
Mean
4.7
6.5
Sample Variance
401.3444
102.7222
Standard Deviation
20.03358
10.1352
c) 75% Chebyche's can found as
(xbar – 2*s) , (xbar + 2*s) = -35.37 , 44.77
(ybar – 2*s) , (ybar + 2*s) = -13.77 , 26.77
75% of the return for the balanced fund fall within a narrower range than those of the stock fund.
d) Formula CV = (s/xbar) * 100
= 426%
CV = (s/ybar) * 100
= 156%
Done
x
y
x2
y2
1
9
1
81
0
-1
0
1
12
8
144
64
14
17
196
289
17
23
289
529
33
9
1089
81
29
15
841
225
-24
-6
576
36
-24
-5
576
25
-11
-4
121
16
Total
47
65
3833
1347
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