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

Let X ~ B(n, p). If n = 10 and E(X) = 5, using the following activity find p and Var(X) Solution: E(X) = □=5□p=□,q=□ Var(X) = □ - Mathematics and Statistics

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प्रश्न

Let X ~ B(n, p). If n = 10 and E(X) = 5, using the following activity find p and Var(X)

Solution: E(X) = `square = 5 square "p" = square, "q" = square`

Var(X) = `square`

रिकाम्या जागा भरा
बेरीज

उत्तर

E(X) = np= 5

∴ 10p = 5

p = `1/2`, q = `1/2`

Var(X) = npq

= `10 xx 1/2xx 1/2`

= 25

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Variance of Binomial Distribution (P.M.F.)
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पाठ 2.8: Probability Distributions - Q.6

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