Part BCSIR NET June 2024the-two-pieces-are-not-independent

The two pieces are not independent

Let a point P be chosen at random on the line segment AB of length $α$ . Let $Z_{1}$ and $Z_{2}$ denote the lengths of line segments AP and BP respectively. Then the value of E(| $Z_{1} - Z_{2}$ |) is

A. $α$
B. $2 α$
C. $α /2$ ✓
D. $2 α /3$

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.

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50 are analysed free — try those first.

The two pieces are not independent

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