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4 marksDiscrete Random Variables

CAPE Applied Mathematics Unit 2 · 2013 · Paper 2 · Question 3(a)(iii)

Independent random variables X and Y have E(X) = 5, E(Y) = 7, \text{Var}(X) = 3, and \text{Var}(Y) = 4.

Determine \text{Var}(2X - 3Y).

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Other parts of this question

  1. 3(a)(i)Determine E(X + Y).[2 marks]
  2. 3(a)(ii)Determine E(2X - 3Y).[2 marks]
  3. 3(b)(i)Calculate P(X \ge 3).[3 marks]
  4. 3(b)(ii)Calculate E(X).[2 marks]
  5. 3(b)(iii)Calculate P(X = 5).[3 marks]
  6. 3(c)(i)Calculate, to 3 decimal places, P(X \ge 65).[4 marks]
  7. 3(c)(ii)Calculate, to 3 decimal places, P(40 \le X \le 80).[5 marks]

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