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

Learn in your speed, with individual attention - Teachoo Maths 1-on-1 Class


Transcript

Question 12 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 − 1/3 = 2/3 Hence, P (X = x) = 4Cx (𝟏/𝟑)^𝒙 (𝟐/𝟑)^(𝟒−𝒙) Mean of distribution = P (X = x) = 4Cx (1/3)^𝑥 (2/3)^(4−𝑥) Mean = = 0 + 1 × 4C1 (1/3)^1 (2/3)^3+ 2 × 4C2 (1/3)^2 (2/3)^2 + 3 × 4C3 (1/3)^3 (2/3) + 4 × 4C4 (1/3)^4 (2/3)^0 = 4 × 1/3 × 8/27 + 2 × 6 × 1/9 × 4/9 + 3 × 4 × 1/27 × 2/3 + 4 × 1/3^4 × 1 = 32/81+48/81+24/81+4/81 = 108/81 = 𝟒/𝟑

Ask a doubt
Davneet Singh's photo - Co-founder, Teachoo

Made by

Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.