Let X be a random variable with the following probability distribution. Value  x  of  X P (X=x) 10 0.40 20 0.45 30 0.10 40 0.05 Complete the following. (If necessary, consult a list of formulas.) (a) Find the expectation  E (X)  of X.   E (X) =   (b) Find the variance Var X of X.   Var (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
Let X be a random variable with the following probability distribution.
Value 
x
 of 
X
P (X=x)
10 0.40
20 0.45
30 0.10
40 0.05

Complete the following. (If necessary, consult a list of formulas.)

(a) Find the expectation 
E (X)  of X.
 
E (X) =
 
(b) Find the variance Var
X of X.
 
Var (X)=
 
 
 
 
Expert Solution
Step 1: Given information

Let X be a random variable with the following probability distribution.

Value x of X
P(X=x)
100.40
200.45
300.10
400.05
steps

Step by step

Solved in 4 steps with 9 images

Blurred answer
Similar questions
  • SEE MORE QUESTIONS
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