Word Count : 340

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गामा वितरण के लिए यदि (X \sim \text{Gamma}(\alpha, \lambda)) हो, तो इसका माध्य और विचलन निम्न सूत्रों से दिया जाता है: [ E(X) = \frac{\alpha}{\lambda}, \quad \text{Var}(X) = \frac{\alpha}{\lambda^2} ] हमें दिया है: [ E(X) = 6, \quad \text{Var}(X) = 3 ] इससे हम (\alpha) और (\lambda) ज्ञात कर सकते हैं। चरण 1: (\lambda) के लिए समीकरण बनाएं [ E(X) = \frac{\alpha}{\lambda} = 6 \implies \alpha = 6\lambda _______ ______ _______ _______ ______ ____ ____ _________ _________ ___ ________.
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