Exercise 3. Let X be a random variable with mean µ and variance o². For a E R, consider the expectation E((X – a)?). a) Write E((X – a)²) in terms of a, u and o². b) For which value a is E((X – a)²) minimal? c) For the value a from part (b), what is E((X – a)²)?

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
ChapterP: Prerequisites
SectionP.6: The Rectangular Coordinate System And Graphs
Problem 2ECP
icon
Related questions
Question
Exercise 3. Let X be a random variable with mean u and variance o2. For a E R, consider the
expectation E((X – a)²).
a) Write E((X – a)²) in terms of a, µ and o2.
b) For which value a is E((X – a)²) minimal?
c) For the value a from part (b), what is E((X – a)²)?
Transcribed Image Text:Exercise 3. Let X be a random variable with mean u and variance o2. For a E R, consider the expectation E((X – a)²). a) Write E((X – a)²) in terms of a, µ and o2. b) For which value a is E((X – a)²) minimal? c) For the value a from part (b), what is E((X – a)²)?
Expert Solution
steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Recommended textbooks for you
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill