Word Count : 303

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मान लें (X \sim \text{Gamma}(\alpha, \lambda)) हो। गामा वितरण का माध्य और प्रसरण ज्ञात हैं: [ E(X) = \frac{\alpha}{\lambda}, \quad \text{Var}(X) = \frac{\alpha}{\lambda^2} ] हमें दिया गया है: [ E(X) = 6, \quad \text{Var}(X) = 3 ] (a) α और λ ज्ञात करना) 1. माध्य से: [ \frac{\alpha}{\lambda} = 6 \implies \alpha = 6\lambda ] 2. प्रसरण से: [ \frac{\alpha}{\lambda^2} ________ __________ ________ ________ ________.
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