A stationary random process is sampled at time instants separated by 0.01 seconds. The resulting sample values are tabulated below. i 0 1 2 3 4 5 6 x(i) i 7 8 9 0.19 0.29 1.44 0.83 10 -0.01 11 - 1.23 12 - 1.47 13 x(i) - 1.24 -1.88 -0.31 1.18 1.70 0.57 0.95 i 14 15 16 17 18 19 20 x(i) 1.45 -0.82 -0.25 0.23 -0.91 -0.19 0.24 a) Estimate the mean value of this process. b) If the process has a true variance of 1.0, find the variance of your estimate of the mean.

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A stationary random process is sampled at time instants separated by 0.01
seconds. The resulting sample values are tabulated below.
i
0
1
2
3
4
5
6
x(i)
i
7
8
9
0.19
0.29
1.44
0.83
10
-0.01
11
- 1.23
12
- 1.47 13
x(i)
- 1.24
-1.88
-0.31
1.18
1.70
0.57
0.95
i
14
15
16
17
18
19
20
x(i)
1.45
-0.82
-0.25
0.23
-0.91
-0.19
0.24
a) Estimate the mean value of this process.
b) If the process has a true variance of 1.0, find the variance of your
estimate of the mean.
Transcribed Image Text:A stationary random process is sampled at time instants separated by 0.01 seconds. The resulting sample values are tabulated below. i 0 1 2 3 4 5 6 x(i) i 7 8 9 0.19 0.29 1.44 0.83 10 -0.01 11 - 1.23 12 - 1.47 13 x(i) - 1.24 -1.88 -0.31 1.18 1.70 0.57 0.95 i 14 15 16 17 18 19 20 x(i) 1.45 -0.82 -0.25 0.23 -0.91 -0.19 0.24 a) Estimate the mean value of this process. b) If the process has a true variance of 1.0, find the variance of your estimate of the mean.
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