If X and Y are random variables and c is any constant, show that E(X-Y)=E(X)-E(Y).

SchachtN 2021-01-05 Answered
If X and Y are random variables and c is any constant, show that E(XY)=E(X)E(Y).
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faldduE
Answered 2021-01-06 Author has 109 answers
Given:
The two random variables are X and Y.
The constant number is C.
Approach:
As it is possible to take expectations through any linear combination of random variables.
Therefore,
E(XY)=E(X)E(Y)
Here, E(X) is the expected value of X and E (Y) is the expected value of Y.
Therefore, the relation E(XY)=E(X)E(Y) is proved if X and Y are random variables and c is any constant.
Conclusion:
Hence, the relation E(XY)=E(X)E(Y) is proved if X and Y are random variables and c is any constant.
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