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 otherwise (a) Sketch the graph of f(x). 3 -3 -2 -2 -1 (b) Compute P(x > 0). 0.5 f(x) -1 0.6 0.5 0.4 0.3 0.25 0.1 f(x) 0.6 0.5 0.4 0.35 0.2 1 0.1 2 1 3 LA 0-3 -2 3 2 X 0-3 -2 (c) Compute P(-1 < X < 1). (Enter your answer to four decimal places.) 0.6875 -1 (d) Compute P(X < -1.4 or X> 1.4). (Round your answer to four decimal places.) 0.0465 f(x) -1 0.6 0.5 0.4 0.3 0.2 0.1 f(x) 0.6 0.5 0.4 0.3 0.2 1 0.1 2 1 X 3 2 X 3
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 otherwise (a) Sketch the graph of f(x). 3 -3 -2 -2 -1 (b) Compute P(x > 0). 0.5 f(x) -1 0.6 0.5 0.4 0.3 0.25 0.1 f(x) 0.6 0.5 0.4 0.35 0.2 1 0.1 2 1 3 LA 0-3 -2 3 2 X 0-3 -2 (c) Compute P(-1 < X < 1). (Enter your answer to four decimal places.) 0.6875 -1 (d) Compute P(X < -1.4 or X> 1.4). (Round your answer to four decimal places.) 0.0465 f(x) -1 0.6 0.5 0.4 0.3 0.2 0.1 f(x) 0.6 0.5 0.4 0.3 0.2 1 0.1 2 1 X 3 2 X 3
A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Transcribed Image Text:The error involved in making a certain measurement is a continuous rv X with the following pdf.
= {0.0931
(0.09375(4- x²)
0
(a) Sketch the graph of f(x).
f(x)
-3
-2
-2
(b) Compute P(X > 0).
0.5
-2 ≤x≤2
otherwise
-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
(c) Compute P(-1 < X < 1). (Enter your answer to four decimal places.)
0.6875
-3
-2
-2
(d) Compute P(X < -1.4 or X > 1.4). (Round your answer to four decimal places.)
0.0465
X
-1
-1
f(x)
0.6
0.5
0.4
0.3
0.2
0.1
f(x)
0.6E
0.5
0.4
0.3
0.2
0.1
1
1
2
2
3
3
X
X
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