Exercise 3. Let X be a random variable with mean and variance o2. For a € R, consider the expectation E((X-a)²). 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 and variance o2. For a € R, consider the expectation E((X-a)²). 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)?

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter1: Functions

Section1.2: The Least Square Line

Problem 5E

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Question

Exercise 3. Let X be a random variable with mean and variance o². For a € R, consider the
expectation E((X-a)²).
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)?

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