The error involved in making a certain measurement is a continuous rv X with the following pdf. -0.09375(4-x²) -2≤x≤2 f(x) = {0.09375(4 otherwise (a) Sketch the graph of f(x). X 0-3 -2 f(x) 0.6 0.5 0.4 0.3 0.2 0.1 f(x) 0.6 0.5 0.4 0.3 0.2 0.1 2 3 X -2 -1 1 2 (b) Compute P(x > 0). (c) Compute P(-1 < X < 1). (Enter your answer to four decimal places.) -2 7 -2 -1 7 f(x) 0.6 0.5 0.4 0.3 0.2 0.1 f(x) 0.6 0.5 0.4 0.3 0.2 0.1 2 1 2 3 3 X X

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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The error involved in making a certain measurement is a continuous rv X with the following pdf.
f(x) =
(0.09375(4-x²) -2≤x≤2
0
otherwise
(a) Sketch the graph of f(x).
- X
0-3
3
-2
-1
f(x)
0.6
0.5
0.4
0.3
0.2
0.1
f(x)
0.6
0.5
0.4
0.3
0.2
0.1
1
2
X
-2
0-3
-2
-1
1
2
3
0-3
(b) Compute P(x > 0).
(c) Compute P(-1 < X < 1). (Enter your answer to four decimal places.)
(d) Compute P(X <-0.4 or X > 0.4). (Round your answer to four decimal places.)
-2
-1
-1
f(x)
0.6
0.5
0.4
0.3
0.2
0.1
f(x)
0.6
0.5
0.4
0.3
0.2
0.1
1
1
2
2
3
3
X
X
Transcribed Image Text:The error involved in making a certain measurement is a continuous rv X with the following pdf. f(x) = (0.09375(4-x²) -2≤x≤2 0 otherwise (a) Sketch the graph of f(x). - X 0-3 3 -2 -1 f(x) 0.6 0.5 0.4 0.3 0.2 0.1 f(x) 0.6 0.5 0.4 0.3 0.2 0.1 1 2 X -2 0-3 -2 -1 1 2 3 0-3 (b) Compute P(x > 0). (c) Compute P(-1 < X < 1). (Enter your answer to four decimal places.) (d) Compute P(X <-0.4 or X > 0.4). (Round your answer to four decimal places.) -2 -1 -1 f(x) 0.6 0.5 0.4 0.3 0.2 0.1 f(x) 0.6 0.5 0.4 0.3 0.2 0.1 1 1 2 2 3 3 X X
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