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
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
Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter10: Radical Functions And Equations
Section: Chapter Questions
Problem 9CR
Related questions
Question
![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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8edd889e-338a-4275-872c-5b2b400b4e22%2F562055a9-da28-4981-bc45-c85193aa4ca9%2F7fb051g_processed.png&w=3840&q=75)
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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