Homework Help is Here – Start Your Trial Now!
Math
Statistics
Suppose X is a positive random variable (i.e. P(X ≤ 0) = 0), such that P(X>10) ≥ 0.5. a. What is the smallest possible value for E[X]? d auch that FIX]

Suppose X is a positive random variable (i.e. P(X ≤ 0) = 0), such that P(X>10) ≥ 0.5. a. What is the smallest possible value for E[X]? d auch that FIX]

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
Please do a and b and please show steps
**Problem Statement:** Suppose \( X \) is a positive random variable (i.e., \( P(X \leq 0) = 0 \)), such that \( P(X > 10) \geq 0.5 \). a. What is the smallest possible value for \( E[X] \)? b. Give a random variable \( X \) such that \( P(X > 10) \geq 0.5 \), and such that \( E[X] \) is equal to the value you found in a.
Transcribed Image Text:**Problem Statement:** Suppose \( X \) is a positive random variable (i.e., \( P(X \leq 0) = 0 \)), such that \( P(X > 10) \geq 0.5 \). a. What is the smallest possible value for \( E[X] \)? b. Give a random variable \( X \) such that \( P(X > 10) \geq 0.5 \), and such that \( E[X] \) is equal to the value you found in a.
Expert Solution
steps

Step by step

Solved in 3 steps

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