Choose the correct option from the given alternatives: For a binomial distribution, n = 5. If P(X = 4) = P(X = 3), then p = ______

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KollegeApply · Accepted Answer

$\frac{2}{3}$ Explanation: P(X = 4) = P(X = 3) $\therefore$ `""^5C_4 p^4 q = "^5C_3 p^3 q^2` $\therefore$ 5p = 10q $\therefore$ 5p = 10(1 - p) $\therefore$ p = (10(1 - "p"))/5 $\therefore$ p = 2 - 2p $\therefore$ p + 2p = 2 $\therefore$ 3p = 2 $\therefore$ p = $\frac{2}{3}$

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