Skip to content
Start free
Part BCSIR NET December 2024the-threshold-is-not-the-midpoint

The threshold is not the midpoint

Suppose X ~ Uniform(5, 10). Define Z = X + 3 if X ≤ 7, and Z = X − 3 otherwise. Then E(Z) is

  1. A.4.5
  2. B.6.9✓
  3. C.7.5
  4. D.34.5

You have the answer. Trap Analysis is why the other three were written.

Not a worked solution repeated four times — the specific reasoning error each wrong option was built to reward.

See pricing

50 are analysed free — try those first.

Related counterexample: Uncorrelated ⇒ independent

More on this topic

The chapter behind this: Random variables, moments and generating functions — free to read

From Probability › Random variables, distributions, moments, MGF

ShareWhatsAppTelegram