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) X 0-3 -2 0.6 0.5 0.4 0.3 0.2 0.1 f(x) 2 3 0-3 -2 X 0.6 0.5 0.4 0.3 0.2 0.1 0-3 -2 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 <-0.3 or X>0.3). (Round your answer to four decimal places.) -2 f(x) 0.6 0.5 0.4 0.3 0.2 0.1 f(x) 0.6 0.5 0.4 0.35 0.2 0.1 2 2 X X

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question

Q12

The error involved in making a certain measurement is a continuous rv X with the following pdf.
(0.09375(4-x²)
= {0.09375(4-x²)
-2≤x≤2
f(x) =
otherwise
(a) Sketch the graph of f(x).
f(x)
X
0-3 -2
0-3 -2
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 <-0.3 or X > 0.3). (Round your answer to four decimal places.)
-1
-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
0.1
1
2
3
X
0-3
-2
-2
-1
-1
f(x)
0.6
0.5
0.4
0.35
0.2
0.1
f(x)
0.6
0.5
0.4
0.3
0.2
0.15
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. (0.09375(4-x²) = {0.09375(4-x²) -2≤x≤2 f(x) = otherwise (a) Sketch the graph of f(x). f(x) X 0-3 -2 0-3 -2 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 <-0.3 or X > 0.3). (Round your answer to four decimal places.) -1 -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 0.1 1 2 3 X 0-3 -2 -2 -1 -1 f(x) 0.6 0.5 0.4 0.35 0.2 0.1 f(x) 0.6 0.5 0.4 0.3 0.2 0.15 1 1 2 2 3 3 X X
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 5 steps with 1 images

Blurred answer
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman