If Y₁ and Y₂ are independent binomial random variables with respective parameters n₁ = 2, p₁ = 0.5 and n₂ = 3, p₂ = 0.2, find (a) E(5Y₁ 3Y₂), (b)V (5Y₁ 3Y₂), (c) P(Y₁ < Y₂).

Ans. (a) 3.2 (b) 16.82 (c) 0.176