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