Homework Help is Here – Start Your Trial Now!
Math
Statistics
Variable X has the following PDF: fx(x)=1/(-1,01(x) + (2-x)(0,2)(x). a) Find its CDF. b) Evaluate the following probabilities: (1) P(-½ < X ≤ 1) (ii) P(X> 1) (iii) P(X>-½|X ≤1)

Variable X has the following PDF: fx(x)=1/(-1,01(x) + (2-x)(0,2)(x). a) Find its CDF. b) Evaluate the following probabilities: (1) P(-½ < X ≤ 1) (ii) P(X> 1) (iii) P(X>-½|X ≤1)

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

Answer no. 1 only

1. A random variable X has the following PDF: fx(x) = 1/2l(-1.01 (x) + 1 (2-x)(0,2)(x). a) Find its CDF. b) Evaluate the following probabilities: (1) P(-½ < X ≤ 1) (ii) P(X>1) (iii) P(X>-|X ≤ 1) 2. Suppose the PDF of X is given by fx(x) = 5e-5xl(o)(x). Find its CDF. 3. Find a PDF of a random variable X whose CDF is given by Fx(x) = (1-e*), (X). 4. For each of the following functions, Find c so that the function is a PDF. a) (cx² + x) 0,11). b) 1-cx 0.21(x). c) 1/c (a,b) (x) where a and b are real numbers, a <b.
Transcribed Image Text:1. A random variable X has the following PDF: fx(x) = 1/2l(-1.01 (x) + 1 (2-x)(0,2)(x). a) Find its CDF. b) Evaluate the following probabilities: (1) P(-½ < X ≤ 1) (ii) P(X>1) (iii) P(X>-|X ≤ 1) 2. Suppose the PDF of X is given by fx(x) = 5e-5xl(o)(x). Find its CDF. 3. Find a PDF of a random variable X whose CDF is given by Fx(x) = (1-e*), (X). 4. For each of the following functions, Find c so that the function is a PDF. a) (cx² + x) 0,11). b) 1-cx 0.21(x). c) 1/c (a,b) (x) where a and b are real numbers, a <b.
Expert 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