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)?
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)?
ChapterP: Prerequisites
SectionP.6: The Rectangular Coordinate System And Graphs
Problem 2ECP
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![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)?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F986f6c25-9d5d-4e3f-93bc-35b073c4428b%2F2e41cf69-c2f0-4156-8f5b-2048283542af%2Fl5i67g_processed.png&w=3840&q=75)
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)?
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