Let f be a joint density function of a pair of continuous random variables X and Y. What are the expected values of X and Y?

Keenan Conway

Keenan Conway

Answered question

2022-09-24

Let f be a joint density function of a pair of continuous random variables X and Y. What are the expected values of X and Y?

Answer & Explanation

nutnhonyl8

nutnhonyl8

Beginner2022-09-25Added 8 answers

Expectation of X:X and Y are random variables with joint density function f. Then the expectation of X will be
E x p ( X ) = R 2 x f ( x , y ) d A
Expectation of Y: Similarly, if X and Y are random variables with joint density function f. Then the expectation of Y will be
E x p ( Y ) = R 2 y f ( x , y ) d A
Result:
E x p ( X ) = R 2 x f ( x , y ) d A
E x p ( Y ) = R 2 y f ( x , y ) d A

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