Recall that in Week 04, we learned the expected value for a discrete random variable X is defined a ΣXP (X=x), and the variance for a discrete random variable is defined as Σ(x-E(X)) ² . Suppose that we have a discrete random variable with only two possible values 1 and 0, which o probability p and 1-p, so that P(X=1) =p, and P(X=0) = 1-p. Which of the following statements about the expected value and variance of this discrete random true? (Select ALL that apply) The variance of X can be calculated by (1-p) ² * p + (0− p) ²* (1− p). O The expected value of X is p. The expected value of X is calculated by 1*p+0*(1-p). The Variance of X is p(1-p).
Recall that in Week 04, we learned the expected value for a discrete random variable X is defined a ΣXP (X=x), and the variance for a discrete random variable is defined as Σ(x-E(X)) ² . Suppose that we have a discrete random variable with only two possible values 1 and 0, which o probability p and 1-p, so that P(X=1) =p, and P(X=0) = 1-p. Which of the following statements about the expected value and variance of this discrete random true? (Select ALL that apply) The variance of X can be calculated by (1-p) ² * p + (0− p) ²* (1− p). O The expected value of X is p. The expected value of X is calculated by 1*p+0*(1-p). The Variance of X is p(1-p).
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
Transcribed Image Text:QUESTION 5
Recall that in Week 04, we learned the expected value for a discrete random variable X is defined as
ΣXP (X=x), and the variance for a discrete random variable is defined as Σ(x− E(X)) ²P(X=x)
Suppose that we have a discrete random variable with only two possible values 1 and 0, which occur with
probability p and 1-p, so that P(X=1) =p, and P(X=0) = 1-p.
Which of the following statements about the expected value and variance of this discrete random variable X are
true? (Select ALL that apply)
The variance of X can be calculated by (1− p) ²*p + (0− p) ²* (1− p).
O The expected value of X is p.
O The expected value of X is calculated by 1*p+0*(1-p).
The Variance of X is p(1-p).
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps
Recommended textbooks for you
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
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
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
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
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
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
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman