# Example 34 - Chapter 13 Class 12 Probability (Term 2)

Last updated at Aug. 23, 2021 by Teachoo

Last updated at Aug. 23, 2021 by Teachoo

Transcript

Example 34 Find the mean of the Binomial distribution B(4, 1/3) B(4, 1/3) means Here, n = 4, p = 1/3 So, q = 1 โ 1/3 = 2/3 Hence, P (X = x) = 4Cx (๐/๐)^๐ (๐/๐)^(๐โ๐) Mean of distribution = P (X = x) = 4Cx (1/3)^๐ฅ (2/3)^(4โ๐ฅ) Mean = = 0 + 1 ร 4C1 (1/3)^1 (2/3)^3+ 2 ร 4C2 (1/3)^2 (2/3)^2 + 3 ร 4C3 (1/3)^3 (2/3) + 4 ร 4C4 (1/3)^4 (2/3)^0 = 4 ร 1/3 ร 8/27 + 2 ร 6 ร 1/9 ร 4/9 + 3 ร 4 ร 1/27 ร 2/3 + 4 ร 1/3^4 ร 1 = 32/81+48/81+24/81+4/81 = 108/81 = ๐/๐

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Chapter 13 Class 12 Probability (Term 2)

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Davneet Singh

Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 10 years. He provides courses for Maths and Science at Teachoo.