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5 marksContinuous Random Variables

CAPE Applied Mathematics Unit 2 · 2013 · Paper 2 · Question 3(c)(ii)

Continuous random variable X \sim N(60, 10^2).

Calculate, to 3 decimal places, P(40 \le X \le 80).

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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(a)(iii)Determine \text{Var}(2X - 3Y).[4 marks]
  4. 3(b)(i)Calculate P(X \ge 3).[3 marks]
  5. 3(b)(ii)Calculate E(X).[2 marks]
  6. 3(b)(iii)Calculate P(X = 5).[3 marks]
  7. 3(c)(i)Calculate, to 3 decimal places, P(X \ge 65).[4 marks]

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