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Example 34 - Chapter 13 Class 12 Probability (Term 2)
Last updated at Aug. 23, 2021 by Teachoo
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Chapter 13 Class 12 Probability
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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 β 1/3 = 2/3 Hence, P (X = x) = 4Cx (π/π)^π (π/π)^(πβπ) Mean of distribution = P (X = x) = 4Cx (1/3)^π₯ (2/3)^(4βπ₯) Mean = = 0 + 1 Γ 4C1 (1/3)^1 (2/3)^3+ 2 Γ 4C2 (1/3)^2 (2/3)^2 + 3 Γ 4C3 (1/3)^3 (2/3) + 4 Γ 4C4 (1/3)^4 (2/3)^0 = 4 Γ 1/3 Γ 8/27 + 2 Γ 6 Γ 1/9 Γ 4/9 + 3 Γ 4 Γ 1/27 Γ 2/3 + 4 Γ 1/3^4 Γ 1 = 32/81+48/81+24/81+4/81 = 108/81 = π/π
