The error involved in making a certain measurement is a continuous rv X with the following pdf. (0.09375(4-²) -2≤x≤2 otherwise F(x) = ) - {0.09375(4-> (a) Sketch the graph of f(x). -2 (b) Compute P(x > 0). -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 2 2 3 3 X (c) Compute P(-1 < X < 1). (Enter your answer to four decimal places.) (d) Compute P(X < -1.1 or X > 1.1). (Round your answer to four decimal places.) -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 2 2 3 3 M X

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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
otherwise
(a) Sketch the graph of f(x).
f(x)
0.6
0.5
0.4
L
0.3
0.2
0.1
1
-2
-2
(b) Compute P(X > 0).
f(x)
0.6
0.5
0.4
0.3
0.2
0.1
1
2
2
3
3
X
X
0-3 -2
(c) Compute P(-1 < X < 1). (Enter your answer to four decimal places.)
-2
(d) Compute P(X < -1.1 or X > 1.1). (Round your answer to four decimal places.)
-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
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 otherwise (a) Sketch the graph of f(x). f(x) 0.6 0.5 0.4 L 0.3 0.2 0.1 1 -2 -2 (b) Compute P(X > 0). f(x) 0.6 0.5 0.4 0.3 0.2 0.1 1 2 2 3 3 X X 0-3 -2 (c) Compute P(-1 < X < 1). (Enter your answer to four decimal places.) -2 (d) Compute P(X < -1.1 or X > 1.1). (Round your answer to four decimal places.) -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
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