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Suppose Y 1 and Y 2 are independent exponential random variables with respective means 2 and 3. Find (a) E(6Y 1 4Y 2 ), (b)V

Suppose Y₁ and Y₂ are independent exponential random variables with respective means 2 and 3. Find (a) E(6Y₁ 4Y₂), (b)V (6Y₁ 4Y₂), (c) P (Y₁ < Y₂). Ans. (a) 0, (b) 288, (c) 0.6

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