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Suppose X m N(-2, 1), Y m Bin(0.5, 4) and Z w N(0, 1) independently. Let W = X ~ Y + 4Z -+- 5.

Suppose X m N(-2, 1), Y m Bin(0.5, 4) and Z w N(0, 1) independently. Let W = X ~ Y + 4Z -+- 5. What is the distribution of W? (choose one) Q Binomial O Exponential 0 Normal 0 Hypergeometric 0 None of the above

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