Please provide clear, detailed, and neat solutions step by step for the example down below Thank You LetX 1 , X 2 , , X n be a random sample from N( 1 , (( 1 ) 2 )) Also Y 1 , Y 2 , , Y n be a random sample from N( 1 , (( 2 ) 2 ) ) Assume that X i 's are independent from the Y i 's Show that X n Y n is a consistent estimator of 1 2

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Please provide clear, detailed, and neat solutions step by step for the example down below? Thank You! LetX 1 , X 2 , , X

Please provide clear, detailed, and neat solutions step by step for the example down below? Thank You!

LetX₁, X₂, , X_n be a random sample from N(₁, ((₁ )²)). Also Y₁, Y₂, , Y_n be a random sample from N(₁, ((₂)²) ). Assume that X_i 's are independent from the Y_i 's. Show thatXnYn is a consistent estimator of ₁ ₂.

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