Expected Value Shift Transformation

00:00 3 marks

  • Build Confidence
  • SL & HL
  • Tier 2
  • Expected Value
  • Linear transformation
  • Discrete distribution

Let \(X\) be a discrete random variable such that \(P(X = k) = \frac{1}{4}\) for \(k = 1, 2, 3, 4\). Calculate \(E(X+5)\).

Hint Hint

Hint

Recall that the expected value operator is linear, i.e. \(E(X + c) = E(X) + c\).

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Complete Answer

\(E(X+5) = 7.5\)

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