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If $X \sim B(4, p)$ and $2P(X = 3) = 3P(X = 2)$, then $p$ equals:
A$4/13$
B$5/13$
C$9/13$
D$6/13$
Answer & 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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