The error involved in making a certain measurement is a continuous rv X with the following pdf. f(x) = -{0.0937 0.09375(4x2) -2 ≤x≤2 otherwise 0 (a) Sketch the graph of f(x). f(x) X 0-3 -2 0-3 -2 O-3 -2 -1 1 2 3 O-3 (b) Compute P(x > 0). (c) Compute P(-1 < X < 1). (Enter your answer to four decimal places.) (d) Compute P(X< -1.5 or X > 1.5). (Round your answer to four decimal places.) -1 0.6 0.5 F 0.4 0.3 0.2 0.1 f(x) 0.6 0.5 0.4 0.3 0.2 0.15 1 2 3 X -2 -1 f(x) 0.6 0.st 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
The error involved in making a certain measurement is a continuous rv X with the following pdf. f(x) = -{0.0937 0.09375(4x2) -2 ≤x≤2 otherwise 0 (a) Sketch the graph of f(x). f(x) X 0-3 -2 0-3 -2 O-3 -2 -1 1 2 3 O-3 (b) Compute P(x > 0). (c) Compute P(-1 < X < 1). (Enter your answer to four decimal places.) (d) Compute P(X< -1.5 or X > 1.5). (Round your answer to four decimal places.) -1 0.6 0.5 F 0.4 0.3 0.2 0.1 f(x) 0.6 0.5 0.4 0.3 0.2 0.15 1 2 3 X -2 -1 f(x) 0.6 0.st 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
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter3: Functions
Section3.3: More On Functions; Piecewise-defined Functions
Problem 99E: Determine if the statemment is true or false. If the statement is false, then correct it and make it...
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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-
0.09375(4x2) -2 ≤x≤2
otherwise
(a) Sketch the graph of f(x).
f(x)
X
0-3 -2
1 2 3
0-3 -2 -1
O-3 -2
-1
1 2
3
O-3
(b) Compute P(x > 0).
(c) Compute P(-1 < X < 1). (Enter your answer to four decimal places.)
(d) Compute P(X< -1.5 or X > 1.5). (Round your answer to four decimal places.)
-1
0.6
0.5 F
0.4
0.3
0.2
0.1
f(x)
0.6
0.5
0.4
0.3
0.2
0.15
X
-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 3
1 2 3
X
X
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