Suppose that Z = (Z, Z) has a standard Gaussian distribution on R2. 4 Define W...
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Suppose that Z = (Z₁, Z₂) has a standard Gaussian distribution on R2. 4 Define W = (W₁, W₂) by W 19)₁ Z Answer: 1.9 −1 1.9 Define the random variable Y by Y = 1 if 1.8|W₁ | < |W₂ and Y = 0 otherwise. 2 Find the expected value of Y. Give your answers in four decimal places. Suppose that Z = (Z₁, Z₂) has a standard Gaussian distribution on R2. 4 Define W = (W₁, W₂) by W 19)₁ Z Answer: 1.9 −1 1.9 Define the random variable Y by Y = 1 if 1.8|W₁ | < |W₂ and Y = 0 otherwise. 2 Find the expected value of Y. Give your answers in four decimal places.
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