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If $X \sim B(5, p)$ and $P(X = 4) = P(X = 3)$, then $p$ equals:
A$1/3$
B$1/2$
C$2/3$
D$3/4$
Answer & Solution
Correct answer: C. $2/3$
${}^5C_4 p^4 q = {}^5C_3 p^3 q^2$ ⇒ $5p = 10q$ ⇒ $p = 2q$. With $p + q = 1$: $p = 2/3, q = 1/3$.
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