Maharashtra State BoardHSC Commerce 12th Board Exam
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Given that X ~ B(n,p), if n = 10 and p = 0.4, find E(X) and Var(X). - Mathematics and Statistics

Sum

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

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Solution

X ~ B(n,p)
Here, n = 10, p = 0.4
∴ q = 1 – p = 1 – 0.4 = 0.6
E(X) = np = 10 x 0.4 = 4
Var(X) = npq = 10 x 0.4 x 0.6 = 2.4

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APPEARS IN

Balbharati Mathematics and Statistics 2 (Commerce) 12th Standard HSC Maharashtra State Board
Chapter 8 Probability Distributions
Exercise 8.3 | Q 1.09 | Page 151
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