Question: Let 1 , 2 , 3 , and 4 be independent and equally distributed random variables with an expected value of 0 and a variance

Let ₁,₂,₃, and ₄ be independent and equally distributed random variables with an expected value of 0 and a variance of 3. Three new random variables, Y, Z, and W are defined as: Y = ₁ +₂ +₃ +₄

Z = 2₁ +2₂

W = 4₁ Which of the following statements is correct? a) Y has the largest variance b) Z has the largest variance c) W has the largest variance d) They all have the same variance

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