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Given X ~ B(n, P) if n = 10 and p = 0.4, find E(x) and Var(X). - Mathematics and Statistics

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प्रश्न

Given X ~ B(n, P) if n = 10 and p = 0.4, find E(x) and Var(X).

बेरीज
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उत्तर

Given: n = 10 and  p = 0.4

∴ q = 1 - p = 1 - 0.4 = 0.6

∴ E(X) = np

= 10(0.4) = 4

∴ Var(X) = npq

= 10(0.4)(0.6) = 2.4

Hence, E(x) = 4, Var(X) = 2.4

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पाठ 8: Binomial Distribution - Exercise 8.1 [पृष्ठ २५२]

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बालभारती Mathematics and Statistics 2 (Arts and Science) [English] Standard 12 Maharashtra State Board
पाठ 8 Binomial Distribution
Exercise 8.1 | Q 12.1 | पृष्ठ २५२
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