If $X \sim B(4, p)$ and $2P(X = 3) = 3P(X = 2)$, then $p$ equals:
- $4/13$
- $5/13$
- $9/13$
- $6/13$
Show answer and solution
Correct answer: C. $9/13$
$2 \cdot {}^4C_3 p^3 q = 3 \cdot {}^4C_2 p^2 q^2$
⇒ $8p = 18q$ ⇒ $p/q = 9/4$
⇒ $p = 9/13, q = 4/13$.
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Correct answer: C. $9/13$