Question
Download Solution PDFयदि दो चर X और Y स्वतंत्र हैं, तो उनके बीच सहसंबंध गुणांक क्या है?
Answer (Detailed Solution Below)
Detailed Solution
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यदि दो X और Y स्वतंत्र हैं तो E(XY) = E(X)E(Y)
X और Y का सहप्रसरण Cov(X, Y) = E(XY) – E(X)E(Y)
\({\rm{Correlation\;coefficient}} = \frac{{{\bf{Cov}}\left( {{\bf{X}},\;{\bf{Y}}} \right)}}{{{{\bf{\sigma }}_{\bf{X}}}{{\bf{\sigma }}_{\bf{Y}}}}}{\rm{\;}}\)
गणना
दिया हुआ है कि X और Y स्वतंत्र हैं तो सहप्रसरण Cov(X, Y) = 0
इसलिए सहसंबंध गुणांक = 0
सही विकल्प (3) है।
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