Homework Help is Here – Start Your Trial Now!
Math
Statistics
(c) Calculate P(3.5 ≤ x ≤ 4.5). 0.5 Calculate P(4.5 < X). 0.2781

(c) Calculate P(3.5 ≤ x ≤ 4.5). 0.5 Calculate P(4.5 < X). 0.2781

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

last item only 0.2781 is wrong

The current in a certain circuit as measured by an ammeter is a continuous random variable X with the following density function. x+0.2 0.075x + 0.2 0 3 ≤x≤ 5 otherwise (a) Graph the pdf. 0.6 f(x) 0.5 0.4 0.3 0.2 f(x) = 0.1 O 1 ³0.0 2 0.075x + 0.2 dx= 0.075 (b) Calculate P(X ≤ 4). 0.4625 ✓ = 1.9375 - -1 3 Verify that the total area under the density curve is indeed 1. (c) Calculate P(3.5 ≤ x ≤ 4.5). 0.5 Calculate P(4.5 < X). 0.2781 4 +0.2x 0.9375 How does this probability compare to P(X < 4)? O P(X ≤ 4) < P(X < 4) P(X ≤ 4) = P(X < 4) O P(X ≤ 4) > P(X < 4) X f(x) 0.6 0.5 0.4 0.3 0.2 0.1 1 2 3 4 5 Xx f(x) 0.6 0.5 0.4 0.3 0.2 0.1 O 1 2 3 4 5 f(x) 0.6 0.5 0.4 0.3 0.2 XO 0.1 1 2 3 X 4 5
Transcribed Image Text:The current in a certain circuit as measured by an ammeter is a continuous random variable X with the following density function. x+0.2 0.075x + 0.2 0 3 ≤x≤ 5 otherwise (a) Graph the pdf. 0.6 f(x) 0.5 0.4 0.3 0.2 f(x) = 0.1 O 1 ³0.0 2 0.075x + 0.2 dx= 0.075 (b) Calculate P(X ≤ 4). 0.4625 ✓ = 1.9375 - -1 3 Verify that the total area under the density curve is indeed 1. (c) Calculate P(3.5 ≤ x ≤ 4.5). 0.5 Calculate P(4.5 < X). 0.2781 4 +0.2x 0.9375 How does this probability compare to P(X < 4)? O P(X ≤ 4) < P(X < 4) P(X ≤ 4) = P(X < 4) O P(X ≤ 4) > P(X < 4) X f(x) 0.6 0.5 0.4 0.3 0.2 0.1 1 2 3 4 5 Xx f(x) 0.6 0.5 0.4 0.3 0.2 0.1 O 1 2 3 4 5 f(x) 0.6 0.5 0.4 0.3 0.2 XO 0.1 1 2 3 X 4 5
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

SEE SOLUTIONCheck out a sample Q&A here
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
SEE MORE TEXTBOOKS