X, Y, Z are 3 independent random variables. We know that Y, Z is the 0-1 random variables indicating whether tossing a regular coin gets a head (1 means getting a head and 0 means not). We also know the following equations,
E(X2Y +XYZ)=7
E(XY 2 + XZ2) = 3
Please calculate the expectation and variance of variable X.
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