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महाराष्ट्र राज्य शिक्षण मंडळएचएससी वाणिज्य (इंग्रजी माध्यम) इयत्ता १२ वी

Given that X ~ B(n, p), if n = 10, E(X) = 8, find Var(X). - Mathematics and Statistics

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प्रश्न

Given that X ~ B(n, p), if n = 10, E(X) = 8, find Var(X).

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उत्तर

X ~ B(n, p)

Here, n = 10, E(X) = 8

∴ np = 8

∴ p = `(8)/n`

= `(8)/(10)`

= `(4)/(5)`

∴ q = 1 – p

= `1 - (4)/(5)`

= `(1)/(5)`

∴ Var(X) = npq

= `10 xx (4)/(5) xx (1)/(5)` 

= `2 xx (4)/(5)`

= `(8)/(5)`

= 1.6

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पाठ 8: Probability Distributions - Exercise 8.3 [पृष्ठ १५१]

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बालभारती Mathematics and Statistics 2 (Commerce) [English] Standard 12 Maharashtra State Board
पाठ 8 Probability Distributions
Exercise 8.3 | Q 1.09 | पृष्ठ १५१
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