Question 11 - Mean or Expectation of random variable - Chapter 13 Class 12 Probability
Last updated at Dec. 16, 2024 by Teachoo
Mean or Expectation of random variable
Mean or Expectation of random variable
Last updated at Dec. 16, 2024 by Teachoo
Question 11 Two dice are thrown simultaneously. If X denotes the number of sixes, find the expectation of X.Let X be the number of sixes occur So, value of X can be 0, 1 or 2 Total number of possible outcomes = 36 So, our probability distribution is The Expectation of X is given by E(X) = 𝜇=∑_(𝑖=1)^𝑛▒𝑥𝑖𝑝𝑖 = 0 × 25/36+1 × 10/36+2 × 1/36 = 10/36+2/36 = 12/36 = 𝟏/𝟑