Question
Download Solution PDFद्विपद बंटन का माध्य और मानक विचलन क्रमशः 12 और 2 हैं। अभिप्रयोगों (परीक्षणों) की संख्या क्या है?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFधारणा:
- माध्य = μ = np
जहां n = परीक्षणों की संख्या; p = सफलता की प्रायिकता; q = (1-p) = विफलता की प्रायिकता
गणना:
दिया हुआ: माध्य = μ = np = 12
∴ प्रसरण = σ2 = npq = 4
⇒ 4 = np (1−p) = 12(1−p)
⇒ 4/12 = (1−p)
⇒ (1 – p) = 1/3
⇒ p = 1 – 1/3
∴ p = 2/3
फिर से; μ = np = 12
∴ n = 12/p = 12 × (3/2) = 18
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