If \(X\) has Poisson distribution with parameter m and \(P(X=3)=P(X=4)\) then \(m=\) ____.

Q.4 (C) (iii) If \(X\) has Poisson distribution with parameter m and \(P(X=3)=P(X=4)\) then \(m=\) ____.

Doubtly Asked 29 Oct 2026 Board exam · July 2025 hsc 12th Save WhatsApp Report

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Answer: 4

\(\frac{e^{-m}m^3}{3!}=\frac{e^{-m}m^4}{4!}\Rightarrow 1=\frac{m}{4}\Rightarrow m=4\).

Doubtly AI · 29 Oct 2026 AI-verified · Nov 2026 Report

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