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Example 34 - Find mean of Binomial distribution B(4, 1/3)

Example 34 - Chapter 13 Class 12 Probability - Part 2
Example 34 - Chapter 13 Class 12 Probability - Part 3

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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 βˆ’ 1/3 = 2/3 Hence, P (X = x) = 4Cx (𝟏/πŸ‘)^𝒙 (𝟐/πŸ‘)^(πŸ’βˆ’π’™) Mean of distribution = P (X = x) = 4Cx (1/3)^π‘₯ (2/3)^(4βˆ’π‘₯) 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Ÿ’/πŸ‘

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Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.