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Question

Statistics Question on Probability

Let 𝑋1Gamma(1,4), 𝑋2Gamma(2, 2) and 𝑋3~Gamma(3, 4) be three independent random variables. If 𝑌=𝑋1+2𝑋2+𝑋3, then 𝐸((y4\frac{y}{4})4 ) equals ______

Answer

The correct answer is: 3024